Question

A number added to its three- fourths is equal to 91. Find the number​

Answer 1

★ Solution :-

Given ,

• A number added to its ¾ th = 91

We need to find ,

• Find the number

Let the number we need to find be x .

By the given question "a number added to its 3/4 th equal to 91 " that means , by assuming the number as x . x added to three - fourth of x equal to 91 .

In mathematical form

→ x + 3x/4 = 91

Simplifying

→ ( 4x + 3x )/4 = 91

→ 7x/4 = 91

→ 7x = 91 × 4

[ °.° Four is transposed to RHS the number which is dividing the number at LHS , if it goes to RHS it becomes multiplied the number at RHS ]

→ 7x = 364

→ x = 364 ÷ 7

[ °.° 7 transposed to RHS with the similar condition ]

→ x = 52

Hence , x = 52

Answer 2

$\sf{\bold{\purple{\star{\underline{\underline{Given}}}}}}$

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• Number + ¾ of number = 91

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$\sf{\bold{\purple{\star{\underline{\underline{To\: Find}}}}}}$

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• Find the number = ??

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$\sf{\bold{\purple{\star{\underline{\underline{Solution}}}}}}$

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• let the original number be x

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$\sf : \implies\:{\frak{ x + \dfrac{3}{4} x = 91 }}$

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$\sf : \implies\:{\frak{ \dfrac{4x + 3x }{4}= 91 }}$

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$\sf : \implies\:{\frak{ \dfrac{7x}{4} = 91}}$

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$\sf : \implies\:{\frak{ x = \dfrac{91\times 4}{7} }}$

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$\sf : \implies\:{\frak{ x = 13 \times 4}}$

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$\sf : \implies\:{\frak{ x = 52 }}$

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$\sf{\star{\boxed{\orange{\frak{ Required\: number = 52 }}}}}$

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