Question

The difference between two numbers is 8. if 2 is added to the bigger number the result will be three times the smaller number. Find the numbers.

Answer 1

Let the bigger number be x. 

The difference between two numbers 8 

∴ Smaller number = x – 8

If 2 is added to the bigger number the result will be three times the smaller number. 

So x + 2 = 3(x – 8) 

x + 2 = 3x – 24

x – 3x = -24 – 2 

– 2x = -26

∴ x = \(\frac{26}2\) = 13

∴ Bigger number = 13 

Smaller number = 13 – 8 = 5