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Solution
Given :-
- Sonu is twice of age Monu
- Five year ago, Sonu's age was three times Monu's age .
Find :-
- Present age of Both .
Explanation
Let,
- Age of Sonu = x years
- Age of Monu = y years
According to question,
Case 1.
==> x = 2y
==> x - 2y = 0___________(1)
Case 2.
==> (x - 5) = 3 × (y - 5)
==> x - 3y = -15 + 5
==> x - 3y = -10__________(2)
Subtract equ(1) & equ(2)
==> -2y + 3y = 10
==> y = 10
Keep value of y in equ(1)
==> x - 2 × 10 = 0
==> x = 20
Hence
- Present age of Sonu (x) = 20 years
- Present age of Monu(y) = 10 years
_____________________
Answer Verification
Case 1.
(Sonu is twice of age Monu )
==> x = 2y
keep value of x & y .
==> 20 = 2 × 10
==> 20 = 20
L.H.S. = R.H.S.
Case 2.
==> x - 3y = -10
keep value of x & y .
==> 20 - 3 × 10 = -10
==> 20 - 30 = -10
==> -10 = -10
L.H.S. = R.H.S.
That's Proved
____________________
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