Sushma is now 15 years older than Vijay but in three more years she will be eight times as old as Vijay was three years ago how old are they now?
Answers
Step-by-step explanation:
Let Vijay present age be x
∴the present age of sushma=(x+15)years
(x+15)+3=3(x+8)
⇒x+18=3x+24
⇒8x-x=18+24
∴7x=42
x=42÷7=6
∴x=6
Vijay present age=6years
sushma present age=15+x=15+6=21years
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Let Vijay's present age be 'x'.
Then, Sushma's present age will be X+15
Sushma's age after 3 years will be
[(X+15) + 3] = X+18
Vijay's age 3 years ago was X-3
Given, Sushma's age 3 years from now will be equal to 8 times of what Vijay's age was 3 years back.
Therefore,
X+18 = 8 (X-3)
X + 18 = 8X - 24
8X - X = 18 + 24
7X = 42X = 6
Therefore, their present ages are as follows:Vijay is 6 years old.Sushma is 21 years old.
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