Question

If 1/7th of a number is added to it , it be comes 40. the number is-​

Answer 1

Answer :-

• The number is 35.

To find :-

• The number.

Solution :-

• Let the number be "x".

Then 1/7th of the number will be :-

• $\sf \dfrac{1}{7} x$

Now, adding the number to the expression,

• $\sf We \: get \: \dfrac{1}{7} x + x$

It is given that :-

• If 1/7th of a number is added to it, it becomes 40.

Therefore,

$:\longmapsto\tt\dfrac{1}{7} x + x = 40$

$:\longmapsto \tt \dfrac{x}{7} + x = 40$

$:\longmapsto \tt \dfrac{x \times 1 + x \times 7}{7} = 40$

$:\longmapsto\tt \dfrac{x + 7x}{7} = 40$

$:\longmapsto \tt\dfrac{8x}{7} = 40$

$:\longmapsto\tt8x = 40 \times 7$

$:\longmapsto\tt8x = 280$

$:\longmapsto \tt x = \dfrac{280}{8}$

$:\longmapsto \underline{ \boxed{\tt x = 35}}$

Hence :-

• The required number is 35.

________________________________

Answer 2

Answer:

Answer :-

The number is 35.

To find :-

The number.

Solution :-

Let the number be "x".

Then 1/7th of the number will be :-

\sf \dfrac{1}{7} x

7

1

x

Now, adding the number to the expression,

\sf We \: get \: \dfrac{1}{7} x + xWeget

7

1

x+x

It is given that :-

If 1/7th of a number is added to it, it becomes 40.

Therefore,

:\longmapsto\tt\dfrac{1}{7} x + x = 40:⟼

7

1

x+x=40

:\longmapsto \tt \dfrac{x}{7} + x = 40:⟼

7

x

+x=40

:\longmapsto \tt \dfrac{x \times 1 + x \times 7}{7} = 40:⟼

7

x×1+x×7

=40

:\longmapsto\tt \dfrac{x + 7x}{7} = 40:⟼

7

x+7x

=40

:\longmapsto \tt\dfrac{8x}{7} = 40:⟼

7

8x

=40

:\longmapsto\tt8x = 40 \times 7:⟼8x=40×7

:\longmapsto\tt8x = 280:⟼8x=280

:\longmapsto \tt x = \dfrac{280}{8}:⟼x=

8

280

:\longmapsto \underline{ \boxed{\tt x = 35}}:⟼

x=35