Question

Add the following
20 years 6 months and 16 years 9 months

Answer 1

Hint:Here, we will add years with years and months with months. After adding months, if there will be more than 12 months, it will add one in the original addition of years and then we will have to subtract 12 from the original addition of months. In the last, we will have the final number of years and months.

Complete step-by-step answer:
Firstly, let us calculate the number of years in the given question
So, 20 years and 16 years will make
$ \Rightarrow 20 + 16 = 36{\text{ years}}$
Now, we will calculate the number of months in the given equation as well
So, 6 months and 9 months will make
$ \Rightarrow 9 + 6 = 15{\text{ months}}$
Now, we need to check if the addition of months is greater than equal to 12 as the number of months in a year is 12. If yes, then we need to add 1 in the actual addition of years. If not, then we don’t need to add any number.
Here, the actual addition of months is 15 which is greater than 12. So, we need to add 1 in the actual addition of years, that is, 36 years.
So now, the number of years will be equal to
$ \Rightarrow 36 + 1 = 37({\text{years}})$
Now, we need to update the actual number of months left behind. For this, we need to subtract 12 from the actual number of months, that is, 15.
The number of months left behind is
$ \Rightarrow 15 - 12 = 3({\text{months}})$
Finally, the result of addition asked in the question is
37 years 3 months

Note:In these types of questions, we need to add the variables with the same unit. For example, in the above question, there are 2 units involved, years and months. So, we directly add the numbers with the same unit that is year and months with months. After adding months, we converted months into years if the required condition met. Always remember we can add quantities with the same units and not with different units.