Question

Molly's dad is 22 years older than Molly. Twice her dad's age minus three times Molly's age is equal to 31. What are the ages of Molly and her dad?

Answer 1

$\huge{\underline{\color{maroon}{\textsf{\textbf{~~~Answer}}}}}$

Let us consider Molly's age as x and her dad's age as y.

According to the problem,

y = 22 + x ---(i)

2y - 3x = 31 -- (ii)

Putting the value of y in equation (ii) we get,

2(22 + x) - 3x = 31

44 + 2x - 3x = 31

x = 13

Putting value of x in (i) we get,

y = 22 + 13

y = 35

_____________________________

Therefore,

${ \red{ \fbox{ Molly's age = 13 and Molly's father's age = 45}}}$

Answer 2

They are 13 and 35 years old