SevenyearsagoVarun'sagewasfivetimesthesquareofSwati'sage.Threeyearshen

1.	SevenyearsagoVarun'sagewasfivetimesthesquareofSwati'sage.ThreeyearshenceSwati'sage will be two-fifth of Varun's age. Find their present ages.400 ind the
Answer» Let present age of varun be m and swati be n Seven years agom-7 = 5(n-7)^2...... (1) 3 years hencen +3 = 2/5(m+3)5n + 15 = 2m + 6m = (5n + 9)/2.......(2) Put Value of eq(2) in eq(1) 5n+9 - 14 = 10(n-7)^2 n-1 = 2(n^2 + 49 - 14n)2n^2 - 29n +99=02n^2 - 18n - 11n +99 =02n(n-9) - 11(n-9)=0n = 9, 11/2 m = (5x9 + 9)/2m =54/2 = 27 Present age of varun is 27 years and swati is 9 years

SevenyearsagoVarun'sagewasfivetimesthesquareofSwati'sage.ThreeyearshenceSwati'sage will be two-fifth of Varun's age. Find their present ages.400 ind the

Answer»

Let present age of varun be m and swati be n

Seven years agom-7 = 5(n-7)^2...... (1)

3 years hencen +3 = 2/5(m+3)5n + 15 = 2m + 6m = (5n + 9)/2.......(2)

Put Value of eq(2) in eq(1)

5n+9 - 14 = 10(n-7)^2 n-1 = 2(n^2 + 49 - 14n)2n^2 - 29n +99=02n^2 - 18n - 11n +99 =02n(n-9) - 11(n-9)=0n = 9, 11/2

m = (5x9 + 9)/2m =54/2 = 27

Present age of varun is 27 years and swati is 9 years