Question

Four fifth of a number is more than three fourth of the number by 4 .find the number

Answer 1

I

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Answer 2

Given - Information about number

Find - Number

Solution - Let the number be x. Representing the information in mathematical expression we get -

$\frac{4}{5} x = \frac{3}{4} x + 4$

Shifting value of x from Right Hand Side to Left Hand Side

$\frac{4}{5} x - \frac{3}{4} x = 4$

Taking LCM, we get 20. Solving the equation for the value of x.

$\frac{4x \times 4 - 3x \times 5}{20} = 4$

$\frac{16x - 15x}{20} = 4$

Shifting the denominator on Left Hand Side to Right Hand Side and performing multiplication

$x = 4 \times 20$

$x = 80$

Hence, the number is 80.