facinating fractions

Algebra Level pending

A quarter of a fifth of seventh of a number is one less than a third of a fifth of an eighth of the same number. What is the number?


The answer is 840.

Piyush Jire by Piyush Jire , 20, India

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1 solution

Let the number is x

1 4 1 5 ( 1 7 x ) = 1 3 1 5 ( 1 8 x ) − 1 \frac{1}{4} {\frac{1}{5} (\frac{1}{7}x)} =\frac{1}{3}{\frac{1}{5}(\frac{1}{8}x)} -1

= > x 140 = x 120 − 1 =>\frac{x}{140} = \frac{x}{120} -1

=>x=

840 \boxed{840}

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