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Popular Word Problems >

The sum of the two numbers is 22, and the product of these two numbers is 120. What are the numbers?

Solution

T h e s u m o f t h e tw o n u mb ers i s 22, an d t h e p ro d u c t o f t h ese tw o n u mb ers i s 120. Wha t a re t h e n u mb ers ?

Solution

The numbers : 12, 10

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 22

x y = 120

x + y = 22, x y = 120 : (x = 12, y = 10 x = 10, y = 12)

Discard duplicated solutions

The numbers : 12, 10

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