Question

One number is five more than five times another. If their sum is decreased by three, the result is fourteen. Find the numbers.

Answer 1

`x = 5(5) + 5`;
`x = 30 + 5 = 35`

Explanation:

Let the 1st number be x and the second number y.

1st equation:
`x = 5y + 5`

2nd equation:
`(x + y) + 2 = 37`

Taking the 2nd equation:
`(x + y) = 35`.

Substitute the value of X (from 1st equation into the 2nd): Since x = ( 5y + 5)

`(5y + 5) + y =35`

`6y + 5 = 35`

`6y = 30`

`y = 5`

`x = 5(5) + 5;`
`x = 30 + 5 = 35`

Smaller number 5 and larger number 30

Note to moderators: Please don't delete this answer because I just trying to help others.