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Popular Word Problems >

The total of two numbers is 35. Four times the larger number is 4 less than five times the smaller number. Find the two numbers.

Solution

T h e t o t a l o f tw o n u mb ers i s 35. F o u r t im es t h e l a r g er n u mb er i s 4 l ess t han f i v e t im es t h e s ma ll er n u mb er . F in d t h e tw o n u mb ers .

Solution

The numbers : 19, 16

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 35

4 x = 5 y - 4

x + y = 35, 4 x = 5 y - 4 : x = 19, y = 16

The numbers : 19, 16

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