Question

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

Answer 1

Answer:

$\huge\bf\red{answer}$

let the number be x

Therefore by the given condition ,

x + ⅔ × x = 55

x + 2x/3 = 55

3x + 2x / 3 = 55

5x / 3 = 55

5x = 55×3

5x = 165

x = 165/5

x = 33

Therefore the number is 33

Answer 2

Let the number be x

according to the question,

$x + (\frac{2}{3} \times x) = 55$

$x + \frac{2x}{3} = 55$

LCM = 3

$\frac{3x + 2x}{3} = 55$

$\frac{5x}{3} = 55$

$5x = 55 \times 3$

$x = \frac{55 \times 3}{5}$

x = 33.

Verification:

Substituting x for 33,

$33 + \frac{2 \times 33}{3} = 55$

33 + 22 = 55

LHS = RHS = 55

Hence verified.

Hope it helps!

have a great day!