Question

Half of two third of a number is 90 then what is the number250 270 180 360

Answer 1

Half of any number is the number divided by 2. In simple words, half of a = $\dfrac{a}{2}$

Two third of any number is the number multiplied by 2 and divided by 3.In simple words, two third of a = $a\times2 \times \dfrac{1}{3} = \dfrac{2a}{3}$ .

=========================

Let the required number is 3x .

According to the question, half of 2 / 3 of the number is 90.

So, half of 2 / 3 of 3x is 90.

Forming Equation : -

$\dfrac{1}{2} \times \dfrac{2}{3} \times 3x = 90$

$\dfrac{1}{2} \times \dfrac{2}{3} \times 3 \times x = 90$

x = 90

Now, we have the value of x and it is 90. Substituting the value of x in 3x.

∴ Required number = 3x

                                 = 3( 90 )

                                 = 270

Hence, the number satisfying he given equation is 270.

Answer 2

Given :

Half of Two Third of a number is 90 .


Let the number is x

Half = 1/2

Two - Third = 2/3 .

According to the given question -


$x \times \dfrac{1}{2} \times \dfrac{2}{3} = 90$


$x \times \dfrac{2}{6} = 90$


Simplifying 2 and 6 by 2 .


$\dfrac{x}{3} = 90$


$x = 90 \times 3$


$x = 270$


Hence : The Number is 270 .


Check :


270 x 1/2 = 135


135 x 2/3 = 90 .



$\bold{Answer: \: The \: Number \: = \: 270}$