Problems based on Numbers Test 4

Question : 8 of 40

Marks: +1, -0

The difference between two integers is 5. Their product is 500. What are the numbers?

Solution:

Let the two numbers be x and y; then
x – y = 5 ...(i)
xy = 500 ...(ii)

(x + y)^2 = (x - y)^2 + 4xy

= (5)^2 + 4 × 500 = 2025

⇒ (x + y) =√ 2025 = 45

...(iii)
Solving equations (i) and (iii), we get x = 25 and y = 20
Hence, numbers are 20 and 25

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