Question

a number when added to its two third is equal to 55 find the number​

Answer 1

Answer:

let the number be "x"

so x+2/3==55

x=55-2/3

x=165-2/3=163/3

so,x=163/3

Answer 2

Answer :-

The number is 33.

Solution :-

Let the number be x

Two third of a number = 2/3 * x = 2x/3

A number when added to its two third = 2x/3 + x

A number when added to its two third = 55

$\sf \dfrac{2x}{3} + x = 55$

$\sf \dfrac{2x}{3} + \dfrac{x}{1} = 55$

Taking LCM

$\sf \dfrac{2x}{3} + \dfrac{x(3)}{1(3)} = 55$

$\sf \dfrac{2x}{3} + \dfrac{3x}{3} = 55$

$\sf \dfrac{2x + 3x}{3}= 55$

$\sf \dfrac{5x}{3}= 55$

$\sf 5x= 55 \times 3$

$\sf x= \dfrac{55 \times 3}{5}$

$\sf x= 11 \times 3$

$\sf x=33$

Therefore the number is 33.

Verificication :-

$\sf \dfrac{2x}{3} + x = 55$

Substitute x = 33 in the above equation

$\sf \dfrac{2(33)}{3} + 33 = 55$

$\sf 2(11) + 33 = 55$

$\sf 22 + 33 = 55$

$\sf 55 = 55$