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One number is six more than a second number. Thrice the first is 6 less than 4 times the second. Find the numbers. Let x represent one number and y represent the second number. Translate the first fact into an equation. Fill in the blanks.

Solution

Solution

The numbers : 30, 24

Solution steps

Represent the numbers with

x and y

number 1 : x

number 2 : y

A.T.Q.:

x = 6 + y

3 x = 4 y - 6

x = 6 + y, 3 x = 4 y - 6 : x = 30, y = 24

The numbers : 30, 24

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