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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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
5
Answer:
Present age of neeraj = 14 years
Present age of neeraj's mother = 42 years
Step-by-step explanation:
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