Question

The product of two positive numbers is 2500. If one of the number is four times the other, the sum of the two numbers is:

• A. 25
• B. 125
• C. 225
• D. 250

Answer 1

Answer:

B. 125

Solution:

Let the two numbers be X and Y.

Given that one number is 4times of other number,

$X=4Y$

Product of two numbers is 2500

$X\times{Y}=2500$

$4Y\times{Y}=2500$

$4Y^2=2500$

$Y^2=625$

$Y=25$

other number be $X=4Y=4\times{25}=100$

Sum of two numbers = $X+Y=100+25=125$