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The larger of two numbers is one more than twice the smaller. Three times the larger exceeds five times the smaller by ten. Find the numbers.

Solution

The larger of two numbers is one more than twice the smaller. Three times the larger exceeds five times the smaller by ten. Find the numbers.

Solution

The numbers : 15, 7

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = 1 + 2 y

3 x = 5 y + 10

x = 1 + 2 y, 3 x = 5 y + 10 : x = 15, y = 7

The numbers : 15, 7

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