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The sum of two numbers is 31. Half the larger number increased by four is same as the smaller number. Find the numbers.

Solution

The sum of two numbers is 31. Half the larger number increased by four is same as the smaller number. Find the numbers.

Solution

The numbers : 18, 13

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 31

\frac{1}{2} x + 4 = y

x + y = 31, \frac{1}{2} x + 4 = y : x = 18, y = 13

The numbers : 18, 13

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