The difference between two numbers is 8. if 2 is added to the bigger n

1.	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» 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

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»

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