Question

the larger of two numbers is 15 more than three times the smaller number. if the sum of the two numbers is 63, find the numbers.

Answer 1

The larger number is 51 and the smaller number is 12

Explanation:

Let

x -----> the larger number

y ----> the smaller number

we know that

the larger of two numbers is 15 more than three times the smaller number

`x=3y+15` -----> equation A

the sum of the two numbers is 63

`x+y=63` ----> equation B

substitute equation A in equation B and solve for y

`3y+15+y=63`

`4y+15=63`

`4y=63-15`

`4y=48`

`y=12`

Find the value of x

`x=3y+15` ---->
`x=3(12)+15=51`

therefore

The larger number is 51 and the smaller number is 12