Two numbers are in the ratio 2 : 3. If 5 is subtracted from the first number and six is added to the second number, then the ratio becomes 5 : 12. What would the ratio become when eight is added to each number?
Two numbers are in the ratio 2 : 3.
Let the two numbers are 2p and 3p respectively.
According to the problem,
$$\frac{2p-5}{3p+6}=\frac{5}{12}$$
24p - 60 = 15p + 30
9p = 90
p = 10
Required ratio =Â $$\frac{2p+8}{3p+8}=\frac{2\left(10\right)+8}{3\left(10\right)+8}=\frac{28}{38}=\frac{14}{19}$$
Hence, the correct answer is Option B
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