ram is 9 years older than Hari.three years ago,he was two times as old as hari was.find their present age
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Question :-
- Ram is 9 years older than Hari.three years ago,he was two times as old as hari was. Find their present age.
Answer :-
- The age of Ram will be = 21
- The age of Hari will be = 12
Sólution:-
We have to assume something :-
=> r = Ram's present age
=> h = Hari's present age
Now :-
Case 1st :
Ram is 9 years older than Hari, so we write an equation from this hint :
=> r = h + 9 ------(i)
Case 2nd :
Three years ago, Ram was two times as old as Hari was, therefore, again we can write an equation :
=> (r - 3) = 2(h - 3) --------(ii)
Here:-
- (r - 3) is Ram's agre three years ago.
- (h - 3) is Hari's age three years ago.
Substituting the equation (i) into equation (ii) :-
=> (h + 9) - 3 = 2(h - 3)h + 9 - 3
=> h - 6 = 6
=> h = 12
- Hence Hari's age is 12 years.
Putting the value of h in equation (i) :
- Ram's age will be 21 years.
Hope it helps you ✔️
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