Ages of Virat and Anushka are in the ratio 1:2. Five years from now the ratio of their ages is 7:13. Find the ages.
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Answer:
Virat = 30 years, Anushka = 60 years.
Step-by-step explanation:
Original ratio= 1:2 = x:2x
Therefore, Virat's age = x, Anushka's age = 2x.
Five years from now:
Virat = x+5
Anushka = 2x + 5
New ratio= 7:13
(x+5):(2x+5) = 7:13
(x+5)/(2x+5) = 7/13
On cross multiplying:
13(x+5) = 7(2x+5)
13x + 65 = 14x + 35
14x - 13x =65 - 35
x = 30.
Anushka = 2x
= 2 * 30 = 60
Therefore, Virat = 30, Anushka = 60.
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