Present ages of veena ans simi are in the ratio 2:5.Four yearsfrom now the ratio of their ages will be 1:2.Find their present ages
Answers
Given:
The ratio of the present ages of Veena and Simi = 2:5
4 years from now, the ratio of their ages will be 1:2
To find:
Their present ages
Solution:
Since the ratio of the present ages of Veena and Simi are 2:5,
So we can say that "2x" years is the present age of Veena and "5x" years is the present age of Simi.
After 4 years,
Veena' age = [2x + 4] years
Simi's age = [5x + 4] years
After 4 years the new ratio of their ages becomes 1:2, so we can form an equation as,
⇒ 2 [2x + 4] = 5x + 4
⇒ 4x + 8 = 5x + 4
⇒ 8 - 4 = 5x - 4x
⇒ x = 4
Thus,
The present age of Veena = 2x = 2 × 4 = 8 years
The present age of Simi = 5x = 5 × 4 = 20 years
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Answer:
the present age of veena is 8 years and simi is 20 years