Bissoy.com
Doctors Medicines MCQs Q&A

Out of two numbers, 4 times the smaller one is less than 3 times the larger one by 5, if the sum of the numbers is larger than 6 times their difference by 6, find the two numbers

Out of two numbers, 4 times the smaller one is less than 3 times the larger one by 5, if the sum of the numbers is larger than 6 times their difference by 6, find the two numbers Correct Answer 59 and 43

Let, Smaller number be x and larger be x and larger number y ATQ, 4x = 3y - 5 = > 4x - 3y = - 5 .............(i) And, x + y = 6 (y - x) + 6 = > x + y - 6y + 6x = 6 = > 7x - 5y = 6 ..........(ii) (i) × 5 - (ii) × 3 = x = - 43   ∴x = 43 From (i) 4 × 43 - 3y = - 5 = > - 3y = - 5 - 172 = - 177 ∴y = (177/3)     = 59 ∴(y,x) = (59,43) (Ans) 

Related Questions

The following question has three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. Find the average of the two numbers. I) 6 times the smaller number is 4 more than 4 times the larger one. II) 1/2 of the smaller number is 3 more than 1/5 of the larger one. III) 2 times their difference is 2 less than the smaller number.
Five bottles named P, Q, R, S, T, of different sizes are kept in a row. Bottle S is larger than two bottles as well as smaller than two bottles. Bottle R is larger than only one bottle. Bottle Q is smaller than P but larger than S. How many bottles are larger than Bottle T?
The larger of two numbers is five less than four times the smaller and the sum of two times the larger and four times the smaller is 74. What are the numbers?
From the given table, what is the percentage of students scoring 40 or more, but less than 70. Scores Less than 20 Less than 30 Less than 40 Less than 50 Less than 60 Less than 70 Less than 80 No. of Students 12 19 22 31 38 46 50
Twice the larger of two numbers is three more than five times the smaller and the sum of four times the larger and three times the smaller is 71. What are the numbers?
The larger of two numbers exceeds twice the smaller number by 9. The sum of twice the larger and 5 times the smaller number is 74. If a is the smaller number, which eqution below determines the correct value of a ?
The larger of two numbers exceeds twice the smaller number by 9. The sum of twice the larger and 5 times the smaller number is 74. If a is the smaller number, which equation below determines the correct value of a ?
The difference between two numbers is 20% of the larger number and the smaller number is 20. By what percentage, the smaller number is smaller than the larger number?
60 percent of a smaller number is 16 less than 40 percent of a larger number. If the sum of both the numbers is 120, then what is the difference between the larger number and the smaller number?
The sum of two numbers is 62. Three times of the smaller number is equal to the 14 more than the larger number. What is the difference between the larger and the smaller number?