ratio of ages of seeta and geeta is 9:15. five years before their ages were in the ratio of 2:5. What are their present ages?
Answers
✪ Question ✪
The ratio of ages of Seeta and Geeta is 9:15. five years before their ages were in the ratio of 2:5. What are their present ages?
✪ Given ✪
The ratio of ages of Seeta and Geeta is 9:15. five years before their ages were in the ratio of 2:5.
✪ To find ✪
Their present ages.
✪ Solution ✪
Let their present ages be 9x and 15x years.
According to condition,
(9x-5)/(15x-5) = 2/5
↝ 5(9x-5) = 2(15x-5)
↝ 45x-25 = 30x-10
↝ 45x-30x = -10+25
↝ 15x = 15
↝ x = 15/15
↝ x = 1
✪ Hence ✪
x = 1
☞ 9x = (9×1) = 9
☞ 15x = (15×1) = 15
✪ Therefore ✪
The present ages of Seeta and Geeta are 9 years and 15 years respectively.
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✪ Verification ✪
(9-5)/(15-5) = 2/5
↝ 4/10 = 2/5
↝ 4/10÷2/2 = 2/5
↝ 2/5 = 2/5
So, L.H.S = R.H.S.
Hence, verified.
๑ Hope this helps you. ๑