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Popular Word Problems >

the sum of two number is 14. one third of the smaller number added to one fourth of the larger number is 4. what are the numbers

Solution

t h e s u m o f tw o n u mb er i s 14. o n e t hi r d o f t h e s ma ll er n u mb er a dd e d t o o n e f o u r t h o f t h e l a r g er n u mb er i s 4. w ha t a re t h e n u mb ers

Solution

The numbers : 6, 8

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 14

\frac{1}{3} x + \frac{1}{4} y = 4

x + y = 14, \frac{1}{3} x + \frac{1}{4} y = 4 : x = 6, y = 8

The numbers : 6, 8

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