Vinods present age is twice the age of kishore one year ago. What is the sum of their present ages in years, if the ratio of the sum of their present ages to the difference of their present ages is 19:5?
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Answer:
Sum of their present ages = 18 yrs.
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Sum of present ages of Vinod and Kishore is 19 years
1) Let present age of vinod be x and present age of kishore be y.
2) According to first statement, x = 2(y-1)
or x = 2y-2
3) According to the second statement, (x+y):(x-y)=19 : 5
or (x+y)/(x-y)=19 / 5 or
5(x+y) = 19(x-y)
or 24y = 14x
4) Substituting from first equation
24y = 14 *( 2y-2) or y=7
Hence, x = 12
5) Therefore, sum of present ages is 12+7= 19
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