Math, asked by manhar1002, 1 month ago

The present age of  Neeraj ’s mother is three times the present age of Neeraj. After 5 years their ages will add to 66 years. Find the present age  of Neeraj .

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Answers

Answered by MяMαgıcıαη
62

Correct 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.

Answer:

  • Present age of Neeraj is 14 years.

Step-by-step explanation:

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 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.

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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 value 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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Answered by jasmeen9847
5

Answer:

Present age of neeraj = 14 years

Present age of neeraj's mother = 42 years

Step-by-step explanation:

hope this answer helps u dear

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