Question

The sum of two numbers is 66. Two times the smaller number is 15 more than the larger number. What are the numbers?

Answer 1

Here is the set up:

Let x and y be the two numbers with x the smaller and y the larger number.

x + y = 66

2x = y + 15

We have two equations in two unknowns.

Take it from here.

Answer 2

27 and 39.

Explanation:

Let x be the smaller number and y be the larger number.

It is given that sum of two numbers is 66.

`x+y=66`

`y=66-x` .... (1)

Two times the smaller number is 15 more than the larger number.

`2x=15+y` ... (2)

From (1) and (2) we get

`2x=15+(66-x)`

`2x=81-x`

`2x+x=81`

`3x=81`

Divide both sides by 3.

`x=27`

Substitute x=27 in equation (1).

`y=66-27`

`y=39`

Therefore, the numbers are 27 and 39.