 Questions & Answers    Question Answers

# Sheela’s age is 4 years less than half of her mother's age. Sheela is 2 years less than thrice the age of her younger brother. If Sheela is 13 years old, then find the age of her brother and that of her mother.  Answer Verified
Hint: In order to solve this problem we need to know that Sheela’s mother’s age is four years more than half of her mother’s age and her brother’s age is two years more than one third of her age. By assuming variables for her mother’s and brother’s age we can get the right solution.

Complete step-by-step answer:
It is given that Sheela is 13 years old.
Let her mother’s age be M and her brother’s age be B.

It is given that Sheela’s age is 4 years less than half of her mother's age.
So, the equation can be made as:
$\dfrac{{\text{M}}}{{\text{2}}}$-4= 13
M = 2(13+4)
M=34 years

It is also given that Sheela is 2 years less than thrice the age of her younger brother.
Therefore, 3B - 2 = 13
3B = 15
B = 5 years
Hence, the age of her mother is 34 years and the age of her brother is 5 years.

Note: Whenever you face such types of problems you have to consider the unknown ages as variables and then make the equations according to the conditions provided. Then solve the equations to get the ages of variables. Proceeding in this way will give you the right answer.
Bookmark added to your notes.
View Notes
Greater Than and Less Than Symbols  Algebraic Formulas for Class 8  Prevention is Better than Cure Essay  Reaching The Age of Adolescence  Days, Weeks, Months and Years  Half-Life of a Reaction  CBSE Class 8 Maths Chapter 4 - Practical Geometry Formulas  Greater Than Symbol  Ice Age - Geology  The Pen is Mightier Than The Sword Essay  