A man’s age is 150% of what it was 10 years ago but 75% of what it will be after 10 years. What is his present age
Answers
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Answer:
Present age of man is 30 years.
Step-by-step explanation:
Let the present age of the man be a years,
It is given in the question that the man's age is 150% of what it was 10 years ago but 75% of what it will be after 10 years.
It simply means :
= > Present age of a man = 150 % of age of same man 10 years before =75% of age of same man after 10 years
Age of man, before 10 years = present age - 10 years
= ( a - 10 ) years
150 % of age of man before 10 years = 150 / 100 x ( a - 10 ) years
Age of man, after 10 years = present age + 10 years
= ( a + 10 ) years
75 % of age of man after 10 years = 75 / 100 x ( a + 10 )years
According to the question : -
= > 150 % of age of same man 10 years before =75% of age of same man after 10 years
= > 150 / 100 x ( a - 10 ) = 75 / 100 x ( a + 10 )
= > 150 ( a - 10 ) = 75( a + 10 )
= > 150a - 1500 = 75a + 750
= > 150a - 75a = 750 + 1500
= > 75a = 2250
= > a = 30
Hence,
Present age of man is 30 years.