Question

Atul and Hemant are playing board game and while playing their turns they both observed that one number is 6 times the other. Also, the difference of the two numbers is 75. Find the two numbers.

Answer 1

Answer:

The following two numbers are 90 and 15

Step-by-step explanation:

Let the numbers be a and b with a>b

Let us assume a = 6b and a-b = 75

a-b = 75 ⇒ a = 75 + b

∴ 75 + b = 6b

⇒ 75 = 6b - b

⇒ 5b = 75

⇒ b = 15

∴ a = 6×15 = 90