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Popular Word Problems >

the sum of two number is 26. the sum of 5 times the larger and 4 times the smaller is 127 find the numbers

Solution

t h e s u m o f tw o n u mb er i s 26. t h e s u m o f 5 t im es t h e l a r g er an d 4 t im es t h e s ma ll er i s 127 f in d t h e n u mb ers

Solution

The numbers : 31 \frac{3}{4}, - 5 \frac{3}{4}

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 26

4 x = 127

x + y = 26, 4 x = 127 : x = \frac{127}{4}, y = - \frac{23}{4}

Convert improper fractions to mixed numbers:

\frac{127}{4} = 31 \frac{3}{4}

Convert improper fractions to mixed numbers:

\frac{23}{4} = 5 \frac{3}{4}

The numbers : 31 \frac{3}{4}, - 5 \frac{3}{4}

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