Question

Sweety is 54 years old and her mother is 80. How many years ago was Sweety's mother three times her age?
A) 20
B) 41
C) 26
D) 33

Answer 1

Let x be the year.

According to the question

3(54-x) = 80-x

162-3x = 80-x

162-80 = -x+3x

82 = 2x

x =$\dfrac {82}{2}$

x = 41

$\boxed {Hence\ option\ B\ is\ correct}$

Answer 2

$\textbf{\large{Answer -}}$

let the number of year be $x$

Now, acc. to question,

$3(54 - x) = 80 - x$

$162 - 3x = 80 - x$

$162 - 80 = (- x) + 3x$

$82 = 2x$

$x = \frac{82}{2}$

$\textbf{x = 41}$

$\textbf{\underline {Therefore, option b is correct.}}$