Question

2/3 of a number is 20 less than the original number.Find the number .​

Answer 1

$let \: the \: unknown \: number \: be \: x \\ \\ according \: to \: the \: question \\ \\ \frac{2}{3} \times x + 20 = x \\ \\ \implies \frac{2x}{3} + 20 = x \\ \\ \implies \frac{(2x + 60)}{3} = x \\ \\ \implies2x + 60 = 3x \\ \\ \implies x = 60$

VERIFICATION :-

According to the question,

x - 2/3 * x = 20

Substituting value if x in this equation,

LHS=60 - 2/3 * 60 = 60 - 40 = 20 = RHS

Hence, our answer 60 is correct

Answer 2

let the first number be x(12)
second number 2/3x(8)
x+2/3x=20
5x/3=20
20*3/5=x
4*3=x
12=x