Given: Sum of the ages of a mother and daughter =56 years. The age of the mother will be three times that of her daughter's. Concept Used: Linear equation is used. Calculation: Let the mother's age be ' x ' years. So, Daughter's age =56−x. After four years, Mother's age =(x+4) years Daughter's age =56−x+4=(60−x) years According to the question, (x+4)=3(60−x) ⇒x+4=180−3x ⇒4x=176 ⇒x=44 Mother's age =x=44 years. Daughter's age =56−x=56−44=12 years ∴ Their respective ages are 44 years and 12 years.