1.

six years ago the ratio of the ages of dexter and debra was 6 : 5. four years hence the ratio of their ages will be 11 : 10. what is debra's present age?

Answer»

Let x and y be the present ages of Dexter and Debra

So,

(x-6)/(y-6) = 6/5

5(x-6) = 6(y-6)

5x -30 = 6y - 36

5x - 6y = -6...............................1)

Now, As PER SECOND CONDITION,

(x + 4)/ (y+ 4)= 11/10

10 (x +4) = (y +4) 11

10x + 40 = 11y + 44

10x - 11y= 4......................................2)

Multiplying equation 1) by 2 and then substracting it by 2) we get,

y = 12 + 4

y = 16

So,

Debra's present age is 16 years


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