Question

The larger of two numbers is 20 more than the smaller number. Four times the larger increased by the smaller number is 25. Find both numbers.​

Answer 1

The numbers are 9 and -11

Explanation:

Given

Represent both numbers with x and y where x is the biggest.

`x = 20 + y`

`4x + y = 25`

Substitute 20 + y for x in the second equation

`4(20 + y) + y = 25`

`80 + 4y + y = 25`

`80 + 5y = 25`

Solving for y

`5y = -55`

`y - (-55)/(5)`

`y = -11`

Solving for (x)

`x = 20 + y`

`x = 20 - 11`

`x = 9`

The numbers are 9 and -11