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Popular Word Problems >

the sum of two numbers is 77. find those numbers if you know that 2/3 of one number is equal to 4/5 of the other number

Solution

t h e s u m o f tw o n u mb ers i s 77. f in d t h ose n u mb ers i f yo u kn o w t ha t 2/3 o f o n e n u mb er i s e q u a l t o 4/5 o f t h e o t h er n u mb er

Solution

The numbers : 42, 35

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 77

\frac{2}{3} x = \frac{4}{5} y

x + y = 77, \frac{2}{3} x = \frac{4}{5} y : x = 42, y = 35

The numbers : 42, 35

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