the ratio of present ages of Amar and Akbar is 6827 5 years ago sum of their ages was 75 their percentage
Answers
Question :-
The ratio of present ages of Amar and Akbar is 6:8. 5 years ago sum of their ages was 75. Find their present ages.
Solution :-
Let the present age of Amar be 6M and Present age of Akbar be 8M.
5 years ago,
Age of Amar = (6M - 5) years
Age of Akbar = (8M - 5) years
According to question,
=> 6M - 5 + 8M - 5 = 75
=> 14M - 10 = 75
=> 14M = 85
=> M = 85/14
=> M = 6.1
=> M = 6 (approx.)
So,
Present age of Amar = 6M
=> 6(6) = 36 years
Present age of Akbar = 8M
=> 6(8) = 48 years
Question :-
The ratio of present ages of Amar and Akbar is 2:7. 5 years ago sum of their ages was 75. Find their present ages.
Solution :-
Let present age of Amar be 2M and present age of Akbar be 7M.
According to question,
=> 2M - 5 + 7M - 5 = 75
=> 9M - 10 = 75
=> 9M = 85
=> M = 85/9
=> M = 9 (approx.)
So,
Present age of Aman = 2M
=> 2(9) = 18 years
Present age of Akbar = 7M
=> 7(7) = 49 years
(And so on, as question is not correct)
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To solve these types of questions,
- First let the ratio's of ages as their present ages.
- Then according to question, if said ago. (Let 5 yeas ago, then subtract 5 from their ages. If said hence then add 5 in their ages).
- And in last, the questioner said the difference or sum of their ages. (If said difference then subtract the ages of both people and put them equal to the age that given after their addition or subtraction)
Answer:-
Present age of Amar= 30
Present age of Akbar = 35
Step - by - step explanation:-
Given :-
The ratio of present ages of Amar and Akbar is 6 : 7
Solution:-
Let, the present age of Amar = 6x
and, the present age of Akbar = 7x
Now ,
According to the question→
5 years ago sum of their ages = 75
→(5+6x )+ (5+7x) = 75
→ 10 + 13x = 75
→13x = 65
→ x = 5
Now, present age of Amar = 6×5 = 30
and ,Present age of Akbar = 7×5 = 35
Hope it helps you.