Question

if 25% of two third of a number is 10. find tha number

Answer 1

Answer:

Given:

• 25% of two third of a number is 10. find the number.

To find:

•   The number that suits the situation.

Solving Question:

 we are given that 25% of 2/3 number is 10 .

             Let 'x' be the number ,which satisfy the situation.Hence, the 2/3 number is  (2/3)x  and 25 percent  equal to (25/100)

⇒ $\dfrac{25}{100}*\dfrac{2}{3}x=10$

Solution:

 $\dfrac{25}{100}*\dfrac{2}{3}x=10\\\\\\\\\implies \dfrac{(25*2)x}{100*3}=10\\\\\\\\\implies \dfrac{2x}{3*4}=10\\\\\\\\\implies \dfrac{x}{3*2}=10\:\:\implies \dfrac{x}{6}=10\\\\cross\:multiply\\\\\implies x=60.$

Thus, the value of 'x' is 60.

∴ The the number is 60

Verification:

 $\dfrac{25}{100}*\dfrac{2}{3}*60\\\\\implies \dfrac{1}{4}*\dfrac{2}{3}*60\\\\\\\\\implies \dfrac{30}{3}=10$

Answer 2

Answer:

The given number be  60.

Solution:

Given,  

25% of the two third value of the given number will be 10. Let the given number be x.

Writing it into expression,  

$\begin{array} { l } { 25 \% \left( \frac { 2 } { 3 } \right) x = 10 } \\\\ { \frac { 25 } { 100 } \left( \frac { 2 } { 3 } \right) x = 10 } \\\\ { \frac { 1 } { 4 } \left( \frac { 2 } { 3 } \right) x = 10 } \\\\ { \frac { 2 } { 12 } x = 10 } \\\\ { x = 10 \times 6 } \\\\ { x = 60 } \end{array}$

Thus, the given number be 60.

Verification:

Let us verify that the 25% of the two third of the obtained number 60 will result in 10 (as said).

$\begin{array} { c } { 25 \% \left( \frac { 2 } { 3 } \right) ( 60 ) = \frac { 25 } { 100 } \left( \frac { 2 } { 3 } \right) 60 } \\\\ { = \frac { 1 } { 4 } \left( \frac { 2 } { 3 } \right) 60 } \\\\ { = \frac { 2 } { 12 } ( 60 ) } \\\\ { = 2 \times 5 } \\\\ { = 10 } \end{array}$

Hence verified.