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Question : 6 of 39

Marks: +1, -0

If a number of which the half is greater than

\frac{1}{10}

th of number by 20 then the number is

50
40
80
None

Solution:

Concept:

Form an equation from the given condition.

Explanation:

Let the number be

x

.

Half of it is

\frac{x}{2}

and

\frac{1}{10}

th of it is

\frac{x}{10}

.

The condition:

\frac{x}{2}

is greater than

\frac{x}{10}

by

20

.

So,

\frac{x}{2} - \frac{x}{10} = 20

.

Simplify:

\frac{5x - x}{10} = 20 \implies \frac{4x}{10} = 20

.

Multiply both sides by

10

:

4x = 200

.

Divide by

4

:

x = 50

.

Answer:

The number is

50

.

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