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Popular Word Problems >

The sum of two number is 65. One number is 4x as the other. what are the two numbers

Solution

T h e s u m o f tw o n u mb er i s 65. O n e n u mb er i s 4 x a s t h e o t h er . w ha t a re t h e tw o n u mb ers

Solution

The numbers : 64 \frac{3}{4}, \frac{1}{4} or 0, 65

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 65

x = 4 x y

x + y = 65, x = 4 x y : (x = \frac{259}{4}, y = \frac{1}{4} x = 0, y = 65)

Convert improper fractions to mixed numbers:

\frac{259}{4} = 64 \frac{3}{4}

The numbers : 64 \frac{3}{4}, \frac{1}{4} or 0, 65

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