Question

One year ago, the age of a woman was \[y\] years. How old will the woman be after 1 year?

Answer 1

Hint: For solving this problem first we need to consider the present age of that woman as some variable. We are given the age of a woman before one year. Using that relation first we find the present age of that woman which in turn easy to calculate the age after one year.

Complete step-by-step solution
Let us assume the present age of the woman as \[x\].
We are given that the age of the woman before one year is \[y\] years.
So, when we convert the condition to mathematical equation we can write as
\[\begin{align}
  & \Rightarrow x-1=y \\
 & \Rightarrow x=y+1 \\
\end{align}\]
Now, let us find the age of that woman after one year.
As we know the present age, age after one year can be calculated just by adding ‘1’ to the present age.
Therefore age after one year is calculated as
\[\Rightarrow \] Age after 1 year \[=x+1\]
By substituting the value of \[x\] in the above equation we will get
\[\Rightarrow \] Age after 1 year \[=\left( y+1 \right)+1\]
\[\Rightarrow \] Age after 1 year \[=y+2\]
Therefore we can say that the age of the woman after one year is \[y+2\] years where \[y\] is the age of a woman before one year.

Note: This problem can also be explained in a different way. We are given that the age of a woman before one is \[y\] years. So, in order to get the present age, we simply need to add 1 to the given age. So, the present age of the woman is \[y+1\] years. Now for getting the age of a woman after one year we again simply need to add one to the present age. So, the age of a woman after one year is given as \[y+2\] years. Therefore we can say that the age of the woman after one year is \[y+2\] years where \[y\] is the age of a woman before one year.