Tick (✓) the correct answer

Question:

Tick (✓) the correct answer:

Four-fifths of a number is greater than three-fourths of the number by 4. The number is

(a) 12

(b) 64

(c) 80

(d) 102

Solution:

(c) 80

Let the number be $\mathrm{x}$.

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

$\Rightarrow \frac{4 x}{5}=\frac{3 x+16}{4}$

$\Rightarrow 16 x=15 x+80$

$\Rightarrow 16 x-15 x=80$

$\Rightarrow x=80$

 

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