Question

After \[15\] years, Hema's age will become four times that of her present age. Find her present age

Answer 1

Hint: In this kind of question, we proceed accordingly. If the question says about ‘t’ years later then we add ‘t’ years in the present age of the person and if the question says about ‘t’ years before then we subtract ‘t’ years from the present age of the person.age is expressed by counting years with or without including the current year. For example, one person is twenty years old is the same as one person is in the twenty-first year of his/her life.
For example, let present age of a person \[{\text{x}}\] years
After ‘t’ years his/her age will be \[{\text{(x + t)}}\] years
Before ‘t’ years his/her age will be \[{\text{(x - t)}}\] years
Then proceed according to the question
Therefore,

Complete step by step answer:
 Let, Hema's present age be \[{\text{x}}\]years
After \[{\text{15}}\]years,
So, on adding fifteen years to her age
Her age will be\[\left( {{\text{x }} + {\text{ 15}}} \right)\]years.

According to question,

\[{\text{4x }} = {\text{ }}\left( {{\text{ x }} + {\text{ 15}}} \right)\]
\[{\text{4x }}-{\text{ x }} = {\text{ 15}}\]
\[{\text{3x }} = {\text{ 15}}\]
\[{\text{x }} = {\text{ 5}}\]

Therefore, Hema's present age is \[{\text{5}}\] years.

Note:
We can also solve this question by letting the age after 15 years as x and age before 15 years as x-15.
Let, Hema's age after 15 years be \[x\]years
before \[{\text{15}}\]years,
So, on subtracting fifteen years from her age, we get:
Her present age will be\[\left( {{\text{x - 15}}} \right)\]years.