7 years ago rahul was 5 times the square of priti age 3 years hence priti age will be 2/5 of rahul age find the present age ??
Answers
Let the present age of Varun and Swati are x and y years respectively.
Given – 7 years ago
x – 7 = 5(y-7)^2 ----------------1
Also given – 3 years hence
y + 3 = 2/5 (x + 3)
5y + 15 = 2x + 6
2x = 5y + 9
x = (5y + 9)/2 ------------------2
Substitute the value of x in equation 1
(5y + 9)/2 – 7 = 5 (y-7)^2
5y + 9 – 14 = 10 (y^2 – 14y + 49)
5y – 5 = 10y^2 – 140y + 490
10y^2 – 145y + 495 = 0
Dividing the equation by 5
2y^2 – 29y + 99 = 0
Solving above quadratic equation to find y
y = (-b + sqrt (b^2 – 4ac))/4ac or y = (-b - sqrt (b^2 – 4ac))/4ac
get y = 9 and y = 11/2
consider age as a whole number
Therefore, y = 9 years
Substitute the value of y in equation 2
Therefore, x = (5 * 9 + 9)/ 2 = 27 years
Answer – The present age of Varun is 27 years and present
age of Swati is 9 years.
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