The present age of amit is 30 years and that of his son is 6 years.In how many years Amit's age will be double that of his son's age? please give me the answers with steps
Answers
Given :
- present age of Amit = 30 yrs
- present age of his son = 6 yrs
To find :
After how many years Amit's age will become double that of his son's age
Solution :
Let us assume that,
After x yrs Amit's age will become double that of Amit's son's age
Then,
- Age of Amit after x yrs will be = (30 + x) years
- And Age of son after x yrs = (6 + x) years
Since, after x yrs Age of Amit will become double of his son's age
therefore,
→ 30 + x = 2 ( 6 + x )
→ 30 + x = 12 + 2 x
→ 30 = 12 + 2 x - x
→ 30 = 12 + x
→ x = 30 - 12
→ x = 18 years
Therefore,
After 18 years Age of Amit will become double of his son's age.
Verification of Answer :
- After 18 yrs age of amit = 30 + 18 = 48 yrs
- After 14 yrs age of son = 6 + 18 = 24 yrs
and,
- 48 = 2 ( 24 )
Hence, Verified.
Answer:
Given :
present age of Amit = 30 yrs
present age of his son = 6 yrs
To find :
After how many years Amit's age will become double that of his son's age
Solution :
Let us assume that,
After x yrs Amit's age will become double that of Amit's son's age
Then,
Age of Amit after x yrs will be = (30 + x) years
And Age of son after x yrs = (6 + x) years
Since, after x yrs Age of Amit will become double of his son's age
therefore,
→ 30 + x = 2 ( 6 + x )
→ 30 + x = 12 + 2 x
→ 30 = 12 + 2 x - x
→ 30 = 12 + x
→ x = 30 - 12
→ x = 18 years
Therefore,
After 18 years Age of Amit will become double of his son's age.
Verification of Answer :
After 18 yrs age of amit = 30 + 18 = 48 yrs
After 14 yrs age of son = 6 + 18 = 24 yrs
and,
48 = 2 ( 24 )
Hence, Verified.
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Step-by-step explanation: