Seven years ago varun is was 5 times the square of swathi hence three year ago swathi age is two fifth of varun age find the present age
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Answer:
Seven years ago. let Swati's age be x years. Then, seven years ago Varun's age was 5x
2
years.
Swati's present age =(x+7) years, Varun's present age=(5x
2
+7) years
Three years hence, we have
Swati's age (x+7+3) years =(x+10) years
Varun's age =(5x
2
+7+3)=(5x
2
+10)
It is given that three years hence Swati's age wil be
5
2
of Varun's age
∴x+10=
5
2
(5x
2
+10)
⇒x+10=2x
2
+4
⇒2x
2
−x−6=0
⇒2x
2
−4x+3x−6=0
⇒(2x+3)(x−2)=0
⇒x−2=0⇒x=2
Hence Swati's present age =(2+7) years =9 years
Varun's present age =(5×x
2
+7) years =27 years
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