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Popular Word Problems >

The difference between two numbers is 70. Four times the smaller is equal to 2 more than the larger. What are the numbers?

Solution

T h e d i ff ere n ce b e tw ee n tw o n u mb ers i s 70. F o u r t im es t h e s ma ll er i s e q u a l t o 2 m ore t han t h e l a r g er . Wha t a re t h e n u mb ers ?

Solution

The numbers : - 22 \frac{2}{3}, - 92 \frac{2}{3}

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x - y = 70

4 x = 2 + y

x - y = 70, 4 x = 2 + y : x = - \frac{68}{3}, y = - \frac{278}{3}

Convert improper fractions to mixed numbers:

\frac{68}{3} = 22 \frac{2}{3}

Convert improper fractions to mixed numbers:

\frac{278}{3} = 92 \frac{2}{3}

The numbers : - 22 \frac{2}{3}, - 92 \frac{2}{3}

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