Question

4/5 of a number is a greater than 3/4 of a number by 8 find the number​

Answer 1

Answer:

The number is 160.

Explanation:

Given that,

⅘ of a number is greater than ¾ of a number by 8.

If we assume the numbers as ‘x’

Then,

⅘ of x is greater than ¾ of x by 8

∴ Equation forms :

$\sf \implies \: \bigg(\dfrac{4}{5} \: of \: x \bigg) - \bigg( \dfrac{3}{4} \: of \: x \bigg)= 8$

Further solving,

$\sf \implies \: \bigg(\dfrac{4}{5} \: \times \: x \bigg) - \bigg( \dfrac{3}{4} \: \times \: x \bigg)= 8$

$\sf \implies \: \bigg(\dfrac{4x}{5} \bigg) - \bigg( \dfrac{3x}{4} \bigg)= 8$

$\sf \implies \: \dfrac{4x}{5} - \dfrac{3x}{4} = 8$

$\sf \implies \: \dfrac{16x - 15x}{20} = 8$

$\sf \implies \: \dfrac{x}{20} = 8$

$\sf \implies \: {x} = 8 \times 20$

$\sf \therefore \: {x} = 160$

∴ The number is 160.

__________________________

Quick check :

→ ⅘ of 160 is 128

And also,

→ ¾ of 160 is 120

Clearly, we noticed that 128 is 8 greater than 120.

Answer 2

Answer:

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