Two years ago, dilip was 3 times as old as his son and two years hence twice his age will be equal to 5 times that of his son's age. Find their present ages.
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Answers
Answered by
1
Step-by-step explanation:
let dilip current age be x
sons current age be y
2 years ago
dilips age x-2
son age y-2
1) x-2=3(y-2)
X-2 = 3y -6
x-3y =-4
2 years later
dilip age x+2
son age y+2
2) 2(x+2) = 5(y+2)
2x+4 = 5y +10
2x+5y = 6
solving the two equations
2x + 5y = 6
2(x -3y = -4)
2x+5y=6
2x-6y=-8
Answered by
20
Given :-
→ Let Dilip's son's age 2 years ago be x years.
Then, Dilip's age 2 years ago = ( 3x ) years
Thus , the son's age 2 years hence (x + 4) years.
Thus , the son's age 2 years hence (x + 4) years. Dilip's age 2 years hence (3x + 4) years.
→ 2 ( 3x + 4 ) = 5 ( x + 4 )
→ 6x + 8 = 5x +20
→ x = 12.
∴ Dilip's son's age 2 years ago = 12 years and Dilip's age 2 years ago = 36 years.
∴ son's present age = 14 years, and
Dilip's present age = 38 years.
Thank You!
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