Question

The eighth part of a number exceeds the ninth part by 5.The number is

Answer 1

Let the number be x

8th part of x = $\dfrac{x}{8}$

9th part of x = $\dfrac{x}{9}$

The eighth part of a number exceeds the ninth part by 5 i.e. the sum of the number = 5


According to the question,

$\dfrac{x}{8} - \dfrac{x}{9}$ = 5

By multiplying 8 and 9,

$\dfrac{x}{72}$ = 5

Multiplying 72 by 5

x = 5 × 72

x = 360



∴ The number is 360



Verification :-

$\dfrac{x}{8} - \dfrac{x}{9}$ = 5

➾ $\dfrac{360}{8} - \dfrac{360}{9}$ = 5

➾ 45 - 40 = 5

➾ 5 = 5

LHS = RHS ✔✔

Answer 2

According to the question,

$\frac{x}{8} - \frac{x}{9} = 5$

By multiplying 8 and 9,

$\frac{x}{72} = 5$

Multiplying 72 by 5

x = 5 × 72

x = 360

∴ The number is 360