Q2. Given below are the clues to find the age of family members. Suppose you are Ritwik and your grandmother's age is 57 years. Find the age of other family members.
a) Grandfather is 5 years older than grandmother
b) Your sister is younger than you. The digits at ones and tens place of her age are same
c) Your mother's age is 2 more than twice 16 years
d) Yours' father age is 3 times your age, so what is your age?
e) Your brother's age lies between 10 and 20. 4 comes at ones place
f) Your father is 18 years younger than your grandmother
Answers
Answer:
a) 57+5= 62
b)11
c)16×2+2=34
d)39÷3=13
e)14
f)57-18=39
Given:
A group of family members including Ritwik, the age of the grandmother is 57.
- The grandmother is 5 years older than the grandmother.
- The sister is younger than Rithwik. The age of the sister contains the same digits at ten's place and one's place.
- Mother's age is 2 more than twice 16 years.
- Father's age is 3 times the age of Rithvik.
- Brother's age lies between 10 and 20, with 4 at one's place.
- Father is 18 years younger than Rithvik's grandmother.
To Find:
The age of all the family members.
Solution:
1. It is given that the age of grandmother is 57 years and grandfather is five years older than grandmother.
- Age of Grandfather = Age of grandmother + 5,
=> Grandfather's age = 57 +5 = 62.
- The age of grandfather is 62 years.
2. It is given that the mother's age is two more than twice of 16 years. Therefore, the age of mother will be,
- Age of mother = 2 + twice of 16,
=> Age of mother = 2 + 2*16= 34 years.
- The age of the mother is 34 years.
3. It is given that the father is 18 years younger than Rithvik's grandmother,
Therefore, the age of father will be,
=> age of the father = age os grandmother - 18,
=> Father's age = 39.
- Father's age is 39 years.
4. It is given that the father's age is 3 times the age of Rithvik. Therefore the age of Rithvik will be,
=> Age of Rithvik = (Age of father/3)
=> Rithvik's age = 39/3 ,
=> Rithivik's age is 13 years.
5. It is given that the age of Rithvik's sister is less than the age of Ritvik, and the value once digit and 10th digit of his sister's age are the same. Therefore,
- The age of the sister is less than thirteen years.
- Since the two digits at one's place and ten's place are the same the only possible value is 11.
=> Sister's age is 11 years.
6. It is given that the age of the brother lies between 10 and 20, the digit at once place is 4. Therefore the only possibility of the age of the brother is 14.
=> The brother is 14 years old.
Therefore the age of the grandfather is 62 years, the age of the father is 39 years, the age of the mother is 34 years, the age of Rithvik is 13 years, the age of the sister is 11 years, and the age of the brother is 14 years.