Abhi is a brilliant student studying in class VIII. One day, while teaching the chapter LINEAR EQUATIONS, his teacher asked Abhi to find a relation between his age and his family members' age. He was able to form the equations in the class. Later, he thought of testing his friends. He told them that his mother's age is 6 years more than twice his age. Also, his father's age is two and a half times his age. Sum of his parents age is 5 years less than the age of grandfather. If his age is the square of the smallest composite number after 2 years, what would be
1. Abhi 's age after 11 years?
a) 9
b) 16
C) 25
D) 36
2. Abhi’s father’s age after 1 year?
A) 34
B) 35
C) 36
D) 37
3. His Grandfather’s age?
A) 74
B)75
C) 76
D) 77
4.What was the age of Abhi's mother, when he was born?
A)20
B)25
C) 30
D)35
Answers
A) ABHI AGE IS 25
B) ABHI FATHER AGE 37
C) ABHI GRAND FATHER AGE IS 77
D) ABHI MOTHER AGE IS 20
Given :
Mother age is 6 years more than twice of son
Father age is 2 and half time son age
Sum of Mother and father age is 5 year less than Grand father age
Son age will be square of smallest composite number after 2 years
To Find : Son age after 11 years
Father age after 1 year
Grandfather’s age
Mother age when son born
Solution:
Son present age = S years
Smallest composite number = 4
( composite numbers are natural numbers having at least 1 factor other than 1 and number itself )
square of smallest composite number = 4² = 16
S + 2 = 16
=> S = 14
Son present age = 14 years
Son age after 11 years = 14 + 11 = 25 Years
Correct option for Q1 is c) 25 years
Father age is 2 and half time son age
Father present age = (2.5) * 14 = 35 Years
Father age after 1 year = 35 + 1 = 36 Years
Correct option for Q2 is c) 36 years
Mother age is 6 years more than twice of son
=> Mother present age = 2(14) + 6 = 34 Years
Son Present Age = 14 years
Mother age when Son was born = 34 - 14 = 20 years
Correct option for Q4 is A) 20 years
Sum of Mother and father age is 5 year less than Grand father age
Grandfather’s age = 35 = 34 + 5 = 74
Correct option for Q 3 is A) 74
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