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Popular Word Problems >

One number is 7 less than a second number. Twice the second number is 53 more than 5 times the first. Find the two numbers.

Solution

O n e n u mb er i s 7 l ess t han a seco n d n u mb er . Tw i ce t h e seco n d n u mb er i s 53 m ore t han 5 t im es t h e f i rs t . F in d t h e tw o n u mb ers .

Solution

The numbers : - 13, - 6

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = y - 7

2 y = 53 + 5 x

x = y - 7, 2 y = 53 + 5 x : x = - 13, y = - 6

The numbers : - 13, - 6

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