Question

The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, what are the numbers?

Answer 1

The numbers are `12` and `51`

Explanation:

Given that :
The larger of two numbers is 15 more than three times the smaller number. ---------------(fact 1)

And

The sum of the two numbers is 63.----------(fact 2)

Let the smaller number be `x`,

So from fact 2, the other number(i.e. the larger number) will be `63 - x`

So now we have,

Smaller number is `x`
and
Larger number is `(63-x)`

According to fact 1,

`63- x = 15+3x`

We will find `x` from this.

`63- 15=+3x+ x`

`48 = 4x`

`=> x = 12`

So we have :

Smaller number = `x =12`
and
Larger number= `63-12 = 51`

`therefore` The numbers are `12` and `51`