Question

Question !!

Present age of  Neeraj’s mother is three times the present age of Neeraj. After 5 years sum of their ages will be 66 years. Find the present age  of Neeraj ?

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Answer 1

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Let the present age of Neeraj be x

Mother's age be 3x

According to Question

x+5+3x+5=66

4x+10=66

4x=56

x=14 years

Neeraj present age is 14 years

Answer 2

Answer :

• Present age of Neeraj is 14 years.

Given :-

• Present age of  Neeraj’s mother is three times the present age of Neeraj.
• After 5 years sum of their ages will be 66 years.

To Find :-

• Present age of Neeraj ?

Solution :-

• Let the present age of Neeraj be y years.
• As it is given that Neeraj's mother is three times the present age of Neeraj. So, age of his mother will be 3y years.

★ Their ages after 5 years :

• Age of Neeraj = (y + 5) years
• Age of his mother = (3y + 5) years

★ According to the question :

• After 5 years sum of their ages will be 66 years.

Therefore,

➻ Neeraj's age + His mother's age = 66

➻ (y + 5) + (3y + 5) = 66

➻ y + 5 + 3y + 5 = 66

➻ y + 3y + 5 + 5 = 66

➻ 4y + 10 = 66

➻ 4y = 66 - 10

➻ 4y = 56

➻ y = 56/4

➻ y = 14

• Hence, present age of Neeraj is 14 years.

Verification :-

• After 5 years sum of their ages will be 66 years.

Therefore,

➻ Neeraj's age + His mother's age = 66

➻ (y + 5) + (3y + 5) = 66

➻ y + 5 + 3y + 5 = 66

• Putting values of y,

➻ 14 + 5 + 3(14) + 5 = 66

➻ 19 + (3 × 14) + 5 = 66

➻ 19 + 42 + 5 = 66

➻ 61 + 5 = 66

➻ 66 = 66

➻ LHS = RHS

• Hence, verified.

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