Question
Twelve years ago, the average age of a family having
four members (father, mother, son and daughter) is (y-2) years. The ratio between the present ages of son and daughter is 3:5 respectively. Five years hence, the age of father is nine years more than double the age of daughter. If the present age of father is 64 years, then find out the age of mother 18 years hence.Solution
The ratio between the present ages of son and daughter is 3:5 respectively.
Let’s assume the present ages of son and daughter are ‘3z‘ and ‘5z‘ respectively.
Five years hence, the age of father is nine years more than double the age of daughter.
So five years hence, the age of daughter = (5z+5)
Five years hence, the age of father = 2(5z+5)+9
= 10z+10+9
= 10z+19
Present age of father = 10z+19-5
= 10z+14
If the present age of father is 64 years
10z+14 = 64
10z = 64-14
10z = 50
z = 5
present age of son = 3z = 3x5 = 15 years
present age of daughter = 5z = 5x5 = 25 years
Twelve years ago, the average age of a family having four members (father, mother, son and daughter) is (y-2) years.
Twelve years ago, the age of father + Twelve years ago, the age of mother + Twelve years ago, the age of son + Twelve years ago, the age of daughter = 4(y-2)
(64-12)+Twelve years ago, the age of mother+(15-12)+(25-12) = 4(y-2)
52+Twelve years ago, the age of mother+3+13 = 4(y-2)
Here the information about two things which are the age of the mother and the value of ‘y’ are unknown. So we cannot determine the age of mother 18 years hence from the given information.
- Which of the following is not a part of India’s National Debt? 
- Who among the following can join the National Pension System (NPS)? 
- Bank rate means? 
- Demand for a commodity refers to? 
- The Foreign exchange reserve consists of 
- Devaluation of currency leads to 
- Which of the following Statements about the PM Jeevan Jyoti Bima Yojna is/are not True? - I- In case of the death of the insured person, the next e... 
- The acronym SRO, being used in the capital market for various market participants, stands for which one of the following? 
- Which one of the following is a purpose of ‘UDAY’, a scheme of the Government? 
- Consider the following statements in regard to Zero Base Budgeting (ZBB) : - (1) Existing Government programmes can be discarded under ZBB if they ...