Question

The ratio of the present ages of Anjali and Ashu is 2 : 3. Five years hence, the ratio of their ages will be 3 : 4 find their present ages.

Answer 1

let the ratio be 2x and 3x
therefore
2x+5/3x+5=3x/4x
4(2x+5)=3(3x+5)
8x+20=9x+15
20-15=9x-8x
5=x
age of anjali=2×5=10
age of ashu=3×5=15

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Answer 2

let the ratio of their age 2x 3x so

2x+5. 3x
--------= ------
3x+5. 4x
now cross multiple
4(2x+5)=3(3x+5)
8x+20=9x+15
9x-8x=20-15
x=5
anjali age=2×5=10
ashu age=3×5=15

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