Question

The difference between two numbers is 9. The first number plus twice the other number is 27. Find the two numbers.

Answer 1

The two numbers are 15 and 6

Solution:

Let the two number be "a" and "b"

Let the first number be "a" and second number be "b"

Given that,

The difference between two numbers is 9

a - b = 9 -------- eqn 1

The first number plus twice the other number is 27

First number + twice the second number = 27

a + 2b = 27 ---------- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

a = 9 + b ------ eqn 3

Substitute eqn 3 in eqn 2

9 + b + 2b = 27

3b = 27 - 9

3b = 18

Divide both sides of equation by 3

b = 6

Substitute b = 6 in eqn 3

a = 9 + 6

a = 15

Thus the two numbers are 15 and 6