Question

55% of a number is more than one-third of that number by 52. what is two-fifth of that number

Answer 1

let no. be x
acc to question
55/100*x=52+1/3*x
11x/20=52+x/3
11x/20-x/3=52
(33-20)x/60=52
13x/60=52
x=240

Answer 2

Answer:

96

Step-by-step explanation:

55% of a number is more than one-third of that number by 52.

let the number is x

So,

55 % of x

$\frac{55x}{100} = \frac{x}{3} + 52 \\ \\ \frac{11x}{20} = \frac{x + 156}{3} \\ \\ 3(11x) = 20(x + 156) \\ \\ 33x = 20x + 3120 \\ \\ 33x - 20x = 3120 \\ \\ 13x = 3120 \\ \\ x = \frac{3120}{13} \\ \\ x = 240$

Two-fifth of x is

$\frac{2}{5} \times 240 \\ \\ = 2 \times 48 \\ \\ = 96$

Hope it helps you.