Question

A number is fourth - fifth of others . If their sum is 180 . Find the numbers

Answer 1

Answer:

Numbers :-

100 & 80

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Step-by-step explanation:

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Given -

A number is fourth-fifth of others. If their sum is 180. Find the numbers.

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Solution -

If one of the is considered as x, so second will be ⅘of x

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sum of both numbers = 180

$x + \frac{4}{5} x = 180 \\ \\ = > \frac{(5 \times x) + 4x}{5} = 180 \\ \\ = > \frac{5x + 4x}{5} = 180 \\ \\ = > \frac{9x}{5} = 180 \\ \\ 9x = 180 \times 5 \\ \\ = > 9x = 900 \\ \\ = > x = 900 \div 9 \\ \\ = > x = 100$

Hence one number is 100, second is ,⅘of x, so second :-

$\frac{4}{5} \times x \\ = > \frac{4}{5} \times 100 \\ = > \frac{400}{5} \\ = > 80$

Hence second number is 80.

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Sum of both number is 180 and a number is ⅘ of other, so our answer is correct.

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hope it helps.