Question

Two numbers are in the ratio 3 : 2 when 2 is subtracted from each the ratio becomes 5:3 find the original number

Answer 1

Answer:

12 & 8

Step-by-step explanation:

a and b are 2 numbers with ratio a/b=3/2

When 2 is subtracted from each the ratio changes as: (a-2)/(b-2)=5/3

a/b=3/2 => a=3b/2

(a-2)/(b-2)=5/3 =>3(a-2)=5(b-2) => 3a=5b-4 =>a=(5b-4)/3

From the above two we find the value of b:

3b/2=(5b-4)/3 => 9b=10b-8 =>b=8

a=3b/2=24/2=12

So the numbers are 12 and 8

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