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The sum of three numbers is 99. The third number is 4 times the second. The second number is 9 more than the first. What are the numbers?

Solution

The sum of three numbers is 99. The third number is 4 times the second. The second number is 9 more than the first. What are the numbers?

Solution

The numbers : 9, 18, 72

Solution steps

Represent the numbers with

x, y, z

:

number 1 : x

number 2 : y

number 3 : z

A.T.Q.:

x + y + z = 99

z = 4 y

y = 9 + x

x + y + z = 99, z = 4 y, y = 9 + x : x = 9, y = 18, z = 72

The numbers : 9, 18, 72

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