Math, asked by gulhaneamey3, 1 month ago

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

Answered by Sam123arth456200919
1

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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Answered by amitnrw
1

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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