Two numbers are such that the ratio between them is 1:2. If each is increased by 10, the ratio between the new numbers so formed is 3:5. Find the original numbers.
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let,
two no. are x:y in ratio 1:2
x:y=1:2
x=1/2y
two no. are increased by 10 new ratio is 3:5
x+10/y+10=3/5
5x+50=3y+30
5x-3y= -20
on putting the value of x in eqn
5(1/2y)-3y=-20
5y-6y=-40
-y=-40
y=40
on putting the value of y in x
x=1/2×40
x=20
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