Question

The larger of two numbers is five more than the smaller. Twice the larger is twenty less than four times the smaller. Find the numbers.

Answer 1

Answer: Small number = 15.

Larger number = 20

Step-by-step explanation:

Let the smaller number be x.

The larger of two numbers is five more than the smaller. Thus, the larger number is x+5.

Twice the larger is twenty less than four times the smaller. This can.be written as:

2(x + 5) = 4x - 20

2x + 10 = 4x - 20

2x - 4x = -20 - 10

-2x = -30

x = 30/2

x = 15

The smaller number is 15

Larger number = x + 5 = 15 + 5 = 20