Bissoy.com
Doctors Medicines MCQs Q&A

There are three numbers A, B, and C such that if we increase the value of C by 15, we get a number which is equal to the value of B. Also, it is known that the value of A is three times the value of C. If the value of A is twice the value of B, then find the difference between the values of A and C.

There are three numbers A, B, and C such that if we increase the value of C by 15, we get a number which is equal to the value of B. Also, it is known that the value of A is three times the value of C. If the value of A is twice the value of B, then find the difference between the values of A and C. Correct Answer 60

Given:

Three numbers A, B and C.

Concept Used:

Arithmetic Operations on Numbers.

Calculation:

The given conditions can be written in the form of formula as:

B = C + 15      ----(i)

A = 3C      ----(ii)

A = 2B      ----(iii)

On substituting the values of B and C from equations (ii) and (iii) into equation(i), we get

A/2 = A/3 + 15

⇒ A/2 - A/3 = 15

⇒ A/6 = 15

⇒ A = 90      ----(iv)

Onsubstituting the value of A into equation(ii), we get

C = A/3

⇒ C = 90/3

⇒ C = 30      ----(v)

Form equations (iv) and (v), we get

A - C = 90 - 30

⇒ A - C = 60

∴ The required difference between the values of A and C is 60.

Related Questions

Simplify the value of $$\frac{{{\text{0}}{\text{.9}} \times {\text{0}}{\text{.9}} \times {\text{0}}{\text{.9 + 0}}{\text{.2}} \times {\text{0}}{\text{.2}} \times {\text{0}}{\text{.2 + 0}}{\text{.3}} \times {\text{0}}{\text{.3}} \times {\text{0}}{\text{.3}} - {\text{3}} \times 0.9 \times {\text{0}}{\text{.2}} \times {\text{0}}{\text{.3}}}}{{{\text{0}}{\text{.9}} \times {\text{0}}{\text{.9 + 0}}{\text{.2}} \times {\text{0}}{\text{.2 + 0}}{\text{.3}} \times {\text{0}}{\text{.3}} - 0.9 \times {\text{0}}{\text{.2}} - {\text{0}}{\text{.2}} \times {\text{0}}{\text{.3}} - 0.3 \times 0.9}} = ?$$
$$\frac{{38 \times 38 \times 38 + 34 \times 34 \times 34 + 28 \times 28 \times 28 - 38 \times 34 \times 84}}{{38 \times 38 + 34 \times 34 + 28 \times 28 - 38 \times 34 - 34 \times 28 - 38 \times 28}}$$            is equal to = ?
There are two rows, each containing 3 numbers. Below are some rules to be used to get the resultant number for each row separately. Use the rule from left to right for each row and find the answer to the question. Rule: 1. If an even number is followed by an even number, then the first number will be subtracted from the second. 2. If an odd number is followed by an odd number, then both will be added. 3. If an odd number is followed by an even number, then the even number will be subtracted from the square of the odd number. 4. If an even number is followed by an odd number, then the odd number will be subtracted from the even number. Row I: 9,11, 34 Row II: 16, 9, 8 What is the difference between the resultant numbers in the first row and the second row
In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and choose the correct option. Quantity A: A positive number is such that adding its square root to itself gives another number equal to twice the first number. Find number? Quantity B: A number which is greater than 2 is such that adding square of that number to itself gives another number equal to 3 less than 5 times of the given number. Find number?
From two numbers, if two times of first number is added with three times of second number it becomes 1200 while from five times of first number if three times of second number is subtracted it becomes 900. Then what is the difference between the two numbers?
a, b and c are three positive numbers, such that a > b > c. When the smallest number is added to the difference of the other two, then the average of the resultant number and the original numbers except the smallest number is 19 more than the average of all the three original numbers. Find the difference between the first two numbers.
Rahim has invited his three buddies over to watch the basketball game on his wide-screen television. They are all hungry, but no one wants to leave to get food. Just as they are arguing about who should make the food run, a commercial comes on for a local pizzeria that delivers. The phone number flashes on the screen briefly and they all try to remember it. By the time Zachary grabs a pen and paper, each of them recollects a different number.i. All of the men agree that the first three numbers are 995.ii. Three of them agree that the fourth number is 9.iii. Three agree that the fifth number is 2.iv. Three agree that the sixth number is 6; three others agree that the seventh number is also 6.Which of the numbers is most likely the telephone number of the pizzeria?
Zachary has invited his three buddies over to watch the basketball game on his wide-screen television. They are all hungry, but no one wants to leave to get food. Just as they are arguing about who should make the food run, a commercial comes on for a local pizze-ria that delivers. The phone number flashes on the screen briefly and they all try to remember it. By the time Zachary grabs a pen and paper, each of them recollects a different number.

#1 : All of the men agree that the first three numbers are 995.
#2 : Three of them agree that the fourth number is 9.
#3 : Three agree that the fifth number is 2.
#4 : Three agree that the sixth number is 6; three others agree that the seventh number is also 6.

Which of the numbers is most likely the telephone number of the pizzeria?
Each question presents a situation and asks you to make a judgement regarding that particular circumstance. Choose an answer based on given information. Himanshu and his two friends were walking on the footpath along the road. Suddenly a car drove by and hit a man, who was crossing the road. Each of them remembers certain number of the 6-digit number plate. All three of them went to police station to file a complaint. When asked about the plate number each of them remembers different numbers. 1. All three confirmed that first two numbers from the left was 35. 2. All three agrees than 4th number from the left was 7. 3. All three agrees that there was no even number in the number plate. 4. All three agrees that two numbers were same. Which of the following would be most likely the number of the number plate?
Two numbers are such that the sum of twice the first number and thrice the second number is 36 and the sum of thrice the first number and twice the second number is 39.Find the difference between the numbers?