Question

MATHS QUESTION

*When 48 is Subtracted from a number it reduces to its 70 percent. What is one fourth of the number?*​

Answer 1

Answer:

one fourth of the number =40

Step-by-step explanation:

check the answer in attachment

Answer 2

The one fourth of the number = 40

Given :

When 48 is Subtracted from a number it reduces to its 70 percent.

To find :

The one fourth of the number

Solution :

Step 1 of 3 :

Form the equation to find the number

Let the number is n

So by the given condition

$\displaystyle \sf n - 48 = n \times \frac{70}{100}$

Step 2 of 2 :

Find the number

$\displaystyle \sf n - 48 = n \times \frac{70}{100}$

$\displaystyle \sf{ \implies } n - 48 = \frac{7n}{10}$

$\displaystyle \sf{ \implies } n - \frac{7n}{10} = 48$

$\displaystyle \sf{ \implies } \frac{10n - 7n}{10} = 48$

$\displaystyle \sf{ \implies } \frac{3n}{10} = 48$

$\displaystyle \sf{ \implies }n = 48 \times \frac{10}{3}$

$\displaystyle \sf{ \implies }n = 160$

So the number is 160

Step 3 of 3 :

Calculate one fourth of the number

The number is 160

∴ One fourth of the number

$\displaystyle \sf = 160 \times \frac{1}{4}$

$\displaystyle \sf = 40$

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