meena is five times as old as her son. In 8 years time meena will be three times as old as her son. Find their present ages
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2
Answer:
let the axe of meena be x and the age of his son be y
By question,
x=5y
=>x-5y=0_(1)
In 8 years
meena's age=x+8
son's age=y+8
=>x+8=3(y+8)
=>x+8=3y+24
=>x+8-3y-24=0
=>x-3y-16=0
=>x-3y=16_(2)
Now,
subtracting equation 1 and 2,we get
x-5y=0
-x+3y=-16
-2y=-16
y=-16/-2
y=8
Putting the value of y in equation 1,we get,
x-5y=0
x-5*8=0
x-40=0
x=40
Therefore, meena's age is 40 years and her son's age is 8 years.
THANK YOU
Answered by
1
Let Meena’s son’s age be x
So Meena’s current age will be 5x
After 8 years,
Meena’s son’s age will be x+8
Meena’s age will be 3(x+8)
According to question:
5x+8=3(x+8)
5x+8=3x + 24
5x-3x=24-8
2x=16
x=16/2
x=8
Meena’s son’s present age =8
Meena’s present age=5*8= 40
So Meena’s current age will be 5x
After 8 years,
Meena’s son’s age will be x+8
Meena’s age will be 3(x+8)
According to question:
5x+8=3(x+8)
5x+8=3x + 24
5x-3x=24-8
2x=16
x=16/2
x=8
Meena’s son’s present age =8
Meena’s present age=5*8= 40
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