50, 50, 50 and 50
Aroon says his age is 50 years, 50 months, 50 weeks and 50 days. What age will he be on his next birthday?
Problem
Aroon says his age is $50$ years, $50$ months, $50$ weeks and $50$ days.
What age will he be on his next birthday?
If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.
Student Solutions
Answer: 56
$\text{ 1 year = 12 months }\approx\text{ 52 weeks}$ and $1 \text{ month }\approx\text{ 30 days}$
$\begin{split}\text{Aroon's age}&=\text{50 years} + \underbrace{\text{50 months}}_{\text{4 years 2 months}} + \underbrace{\text{50 weeks}}_{\text{almost a year}} + \underbrace{\text{50 days}}_{\text{almost 2 months}}\\
&\approx \text{54 years + almost a year + 3 or 4 months}\\
&\approx \text{55 years and a bit}
\end{split}$
So Aroon will be $56$ on his next birthday.