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Popular Word Problems >

There are two numbers whose sum is 53. Three times the smaller number is equal to 19 more than the larger number. What are the numbers?

Solution

T h ere a re tw o n u mb ers w h ose s u m i s 53. T h ree t im es t h e s ma ll er n u mb er i s e q u a l t o 19 m ore t han t h e l a r g er n u mb er . Wha t a re t h e n u mb ers ?

Solution

The numbers : 18, 35

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 53

3 x = 19 + y

x + y = 53, 3 x = 19 + y : x = 18, y = 35

The numbers : 18, 35

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