Question

Seema’s age is $3$ years more than $3$ times the age of her daughter. Seema is $30$years old. Find the age of drought.

Answer 1

Hint: Since we have to find the original age of Seema’s daughter and there is some information given in the question to solve this problem further.
Seema's age is given as three years more than and also three times the age of her daughter.
Using the mathematical approach first converts the given problem into mathematical terms and then we can simply solve it by using any of the formulas like the elimination or substitution method.

Complete step-by-step solution:
Let us fix the value of the person that we need to find (daughter) as X. then from the given question first convert the statement into an equation as X is as much more than $3$ years from Seema’s.
Also, the X is $3$ times the age of Seema’s.
Since these two statements are equivalent (related same), thus both the expressions compare X only, so we will combine the equation into one term.
Thus, we get $3x + 3$.
Also, Seema is $30$ years old (from the given) again converting the information into the equation with equivalent (information’s are all about Seema’s to the daughter's age)
Therefore, we get $3x + 3 = 30$ which in the form of Seema’s age is $3$years more than, $3$ times the age of her daughter, also Seema is $30$ years old.
Solving the equation we get, $3x + 3 = 30 \Rightarrow 3x = 27$(subtracted by three)
Further solving we get, $3x = 27 \Rightarrow x = 9$(divided by three)
Hence Seema's daughter is $9$ years old.

Note: Since more than the given age means addition operation, less than the given age means subtraction.
By the times of the age means multiplication.
For example, if the daughter's age is given as Seema’s age is $3$ years less than, $3$ times the age of her daughter, also Seema is $30$ years old.
We will find the equation form of $3x - 3 = 30$.