The sum of two numbers is 60. One number is 4 times as large as the other.

What are the numbers?

Solution

Let:

x = the first number 4x = the second number

Therefore:

x + 4x = 60 (The sum of two numbers is 60.)

Solving for x;

5x = 60 x = 12

Therefore, the first number is 12 and the second number is 4(12) = 48.

CHECK: x + 4x = 60 12 + 48 = 60 60 = 60 (Check)

## Solution Let: x = the first

Solution

Let:

x = the first number

4x = the second number

Therefore:

x + 4x = 60 (The sum of two numbers is 60.)

Solving for x;

5x = 60

x = 12

Therefore, the first number is 12 and the second number is 4(12) = 48.

CHECK:

x + 4x = 60

12 + 48 = 60

60 = 60 (Check)

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