Question

one third of a number exceeds one fifth of the number by 6 find the number

Answer 1

Let the number be x

one third of number = x/3

one fifth of number = x /5

by the condition given in your question we get equation

x/3 - x/5 = 6

5x - 3x /15 = 6

2x/15 = 6

2x = 15 × 6

x = 15 × 6/2

x = 15 × 3

x = 45

so your required number is 45

Answer 2

The number is 45.

Given:

• 1/3rd of a number exceeds 1/5th of the number by 6.

To find:

• Find the number.

Solution:

Step 1:

Let the number is x.

1/3rd of the number is :$\frac{x}{3}$

1/5th of the number is :$\frac{x}{5}$

Step 2:

Write the equation.

$\frac{x}{3} = \frac{x}{5} + 6$

or

$\frac{x}{3} - \frac{x}{5} = 6$

or

$\frac{5x - 3x}{15} = 6$

or

$\frac{2x}{15} = 6$

or

$2x = 6 \times 15$

or

$x = 3 \times 15$

or

$\bf \red{x = 45}$

Step 3:

Verification.

$\frac{45}{3} = \frac{45}{5} + 6$

or

$15 = 9 + 6$

or

$\bf 15 = 15$

Hence verified.

Thus,

The number is 45.

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