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Popular Word Problems >

The difference of two numbers is 4 1/6. If the smaller number is 7 2/3, what is the larger number?

Solution

T h e d i ff ere n ce o f tw o n u mb ers i s 4 1/6. I f t h e s ma ll er n u mb er i s 7 2/3, w ha t i s t h e l a r g er n u mb er ?

Solution

The number : 11 \frac{1}{6}

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x - y = \frac{25}{6}

y = 7

x - y = \frac{25}{6}, y = 7 : x = \frac{67}{6}, y = 7

Convert improper fractions to mixed numbers:

\frac{67}{6} = 11 \frac{1}{6}

The number : 11 \frac{1}{6}

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