Question

Jabri is thinking of three numbers. The greatest number is twice as large as the least number. The midde number is three more than the least number. The sum of the three numbers is 75. Find the Numbers.

Answer 1

Explanation:

Givens

Let the least number = x

Let the largest number = 2x

Let the second number = x + 3

The sum = 75

Equation

x + 2x + x + 3 = 75 Combine the terms on the left

Solution

4x + 3 = 75 Subtract 3 from both sides

4x +3-3= 75-3

4x = 72 Divide by 4

4x/4 = 72/4

x = 18

Answer

Smallest number = 18

Second number = 18 + 3 = 21

Largest number = 2*18 = 36

Sum = 75