Question

1/5th of the sum of two numbers is 9 and the difference between them is 11 the numbers are

Answer 1

Answer:

The numbers are 28 and 17

Explanation:

Let a and b be the numbers.

ATQ,

(a+b)/5 = 9 .....Eqn 1

a - b = 11 ....Eqn 2

From Eqn 1,

a+b = 45 ....Eqn 3

Adding Eqn 1 and 3,

2a = 56

a = 28

b = 45 - a = 45 - 28 = 17

verify

sum of numbers = 45

one fifth of this is 9 ✓

difference is 28 - 17 = 11 ✓