Four years ago ashok's age was four times that of bala .three years hence ashok's age will be thrice the age of bala
Answers
Answered by
11
let us assume ashok's age as x and bala's age as y
then
x-4=4(y-4)
x=4y-12 ----(1)
x+3=3(y+3)
x=3y+6 -----(2)
equating (1) and (2)
4y+12=3y+6
y=18
x=3*18+6=60
then
x-4=4(y-4)
x=4y-12 ----(1)
x+3=3(y+3)
x=3y+6 -----(2)
equating (1) and (2)
4y+12=3y+6
y=18
x=3*18+6=60
Answered by
3
Given :
Four years ago Ashok's age was four times that of Bala .Three years later Ashok's age will be thrice the age of Bala.
To Find:
Find present age of Ashok and Bala.
Solution:
Let
Present age of Ashok = X
Present age of Bala = Y
Before four years:
Age of Ashok was four times age of Bala:
(X -4) = 4× (Y -4)
⇒ X -4 = 4 Y - 16
⇒ X - 4 Y = -16 + 4
⇒ X - 4Y = -12 ...1)
After three years:
Age of Ashok will three times age of Bala:
(X +3) = 3× (Y +3)
⇒X + 3 = 3 Y + 9
⇒X - 3 Y = 9 - 3
⇒X - 3 Y = 6 ...2)
On solving equation 1) and equation 2), we get :
X = 60
Y = 18
Means:
Present age of Ashok = X = 60 years
Present age of Bala = Y = 18 years
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