Rakesh is the only child of Mr.Sumit and Kavya. They live in a joint family at Rampur. One day he is getting bored at home. Suddenly an idea came to his mind and he began to note down the ages of his family members. For 15 minutes, he was thinking about the ages of his mother, father, grandfather and his own. Then he jumped into the relationship among the ages of the family members. He went to his mother and said “Mom, your age is 5 years more than twice mine. Papa’s age is two and half times my age. You know that the sum of ages of both of you is 4 years less than the age of grandfather. You know Mom, my age would be square of the smallest composite number after two years.
Q1.Rakesh’s age after 11 years would be: -
a. 9 years
b. 16 years
c. 25 years
d. 36 years
Q2.Mr. Sumit’s age after 1 year would be: -
a. 34 years
b. 35 years
c. 36 years
d. 37 years
Q3.What was the age of Rakesh’s mother when he was born?
a. 19 years
b. 25 years
c. 30 years
d. 35 years
Answers
Answer:
as we know that the smallest composite number is 4
: 4 X 4 = 16 - 2 =14
Rakesh is 14 years old
Q.1
c.)25 years
Q.2
c.)36 years
Q.3
a.)19 years
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Given :
Mother age is 5 years more than twice of son
Father age is 2 and half time son age
Sum of Mother and father age is 4 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
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 5 years more than twice of son
=> Mother present age = 2(14) + 5 = 33 Years
Son Present Age = 14 years
Mother age when Son was born = 33 - 14 = 19 years
Correct option for Q3 is a) 19 years
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