Bissoy.com
Doctors Medicines MCQs Q&A

The ratio of present ages of Ekram and Nazar is ratio of 5 : 6. Ten years ago the age of Ekram is 75 % age of Nazar. What was their age six years ago?

The ratio of present ages of Ekram and Nazar is ratio of 5 : 6. Ten years ago the age of Ekram is 75 % age of Nazar. What was their age six years ago? Correct Answer 19 and 24 years 

Given

Presently, Ekram : Nazar = 5 : 6

10 years ago Ekram = Nazar × 75/100= 3 × Nazar/4

Calculation

Let the current age of Ekram and Nazar be e and n respectively

⇒ e : n = 5 : 6

⇒ 6e = 5n      ----(i)

10 years ago, (e – 10) = 3 × (n – 10)/4

⇒ 4e – 40 = 3n – 30

⇒ 4e – 3n = 10      (ii)

On solving equation (i) and (ii) we will get

e = 25 and n= 30

it is asking (e – 6) = 25 – 6 = 19 and (n – 6) = 30 – 6 = 24

So, the age of Ekram and Nazar 6 years ago will be 19 years and 24 years respectively

Related Questions

Given below are quantities named A,B and C. Based on the given information, you have to determine the relation between the quantities. You should use the given data and your knowledge of mathematics to choose among the possible answer. Akash’s present age is six years less than Badshah’s age after nine years. The ratio of present age of Badshahand RAFTAAR is 5:9. Raftaar is 21 years younger than Denny and Denny is three years older than Honey. Square of the Honey’s present age is 1350 more than 15 times of Honey’s present age? Quantity A: What is the difference between AKASH’s present age and HONEY’s age after 16 years? Quantity B: After 6 years Mankirat’s age is twice that of Akash’s present age. Diljeet’s present age is 3.5 times of 25% of sum of present age of Mankirat and A. What is the present age of Diljeet? Quantity C: Twice of A’s present age is eight years more than that of Babbu’spresent age, then find the Babbu’s present age?
Questions below followed by three quantities. Find the relationship between them. Quantity I: Average age of 14 members of team is 25 years. While oldest member of the team is 26 years older than youngest member of the team. Out of remaining 12 members of team, average age of six members of team is 28 years and the remaining six members is 20 years. What is the age of oldest member of the team? Quantity II: Average age of Nitu, Rekha and Shyam is 17 years. Two new persons Divya and Raju joined them so that average age of all become 19 years. If Divya is 2 years older than Raju and Rekha is 2 years older and 1 year older than Shyam and Nitu respectively. What is sum of the average age of Nitu and Shyam together and average age of Divya and Rekha together? Quantity III: The average age of father, mother and their two sons is 27.5. Five years ago, the ratio of ages of father, mother and two sons (elder and younger) is 7 : 5 : 2 : 1. Find the sum of ages of two sons after 7 years.
Himanshu sold the bike to Ekram at 10% profit. Further, Ekram sold Saurav at 20% profit. Ekram purchased the bike at Rs. 4400 from Himanshu. Find the profit percentage for Himanshu if he sold the bike to Saurav directly at the same price on which it was sold by Ekram. 
Quantity I: The difference between present ages of Dheeru and Chandan is 4 years and the average of present ages of Bablu and Dheeru is 30 years. If Amit is 48 years older to Bablu and Dheeru is 36 years younger to Bablu, then what is the average of the present ages of Amit and Bablu? Quantity II:  The ratio of present ages of K, L and M is 18 : 14 : 13, respectively, then difference between the present ages of K and M is 25 years.  What is the average of the ages of K, L and M, Quantity III: 70 Years
Sum of ages of Ajay, Bharti and Dhruv is 10 years more than the sum of ages of Bharti, Dhruv and Tara. Chaten is 6 year older then Bharti and 2 years younger than Dhruv. What is the ratio of present age of Ajay and Chaten? Which of the following option is sufficient alone to find the answer? A) Age of Chaten after 13 years will be 35 years. B) Sum of present age of Bharti, Chaten and Dhruv is 47 years. C) Sum of present age of Ajay, Tara and Chaten is 48 years. D) Sum of present age of Bharti and Dhruv is 24 years and Ajay and Chaten is 30 years. E) Average of recent age of Ajay and Bharti is 2 more than the average of age of Bharti and Dhruv.
Five years ago the average of the ages of P and Q was 40 years and now the average of the ages of Q and R is 48 years. Q1 : What is the present age of P if the sum of age of P and R is 70? Q2 : What is the present age of Q if the present age of P is 20% less than the present age of R? Q3 : What is the present age of R if the average age of P and R is 45 years? Which option represent correct relation among Q1, Q2, and Q3?
Eight years ago, Maria’s age was equal to the sum of the present ages of her only son and only daughter. Ten years hence, the respective ratio between the ages of her daughter and her son that time will be 6 : 5. If Maria ‘s husband is 8 years elder to her and his present age is four times the present age of their son, what is the present age of Maria’s daughter?
The following questions are accompanied by three statements (I), (II), and (III). You have to determine which statements(s) is/are sufficient/necessary to answer the questions. What will be the ratio of ages of son and his father after 15 years, if the sum of their present ages is 57. Statement I: Ratio of ages of son after 5 years and father’s 3 years ago is 3: 4. Statement II: Father married x years ago.  Statement III: Twice the father’s present age is 10 more than seven times the son’s present age.
Each of the questions below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. Ali is 3 years older than Bela who is 5 years older than Chals. The ratio of age of Dyna and Ena after two years will be 3 : 4 years. Sum of ages of Dyna, Ena, Fanny and Geet is 50 years. What is the present age of Geet? Statement I: The ratio of ages of Dyna and Fanny is 7 : 15 respectively and Ali is 18 years old. Statement II: The sum of ages of Ena and Fanny is 25 years. Statement III: The sum of ages of Dyna and Ena is 17 years and fanny is 8 years older than Dyna.
If 6 years are subtracted from the present age of Ayush and takes 25% of that then we get the present age of his only son. 4 years ago, his daughters age is 7 years more than his son. Sum of daughters present age and his wifes present age is 10 years more than Ayushs present age then find the present age of Ayush if average of present age of entire family is 30.25 yr?