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

1 thought on “A number is fourth – fifth of others . If their sum is 180 . Find the numbers”

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

   [tex]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[/tex]

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

   [tex] \frac{4}{5} \times x \\ = > \frac{4}{5} \times 100 \\ = > \frac{400}{5} \\ = > 80[/tex]

   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.

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