The sum of two numbers is 25 and their differ | vedclass

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(C) Let the two numbers be $a$ and $b$.Given that $a + b = 25$ and $a - b = 7 \frac{1}{2} = \frac{15}{2} = 7.5$.We need to find the ratio $a:b$.Using

Vedclass · Accepted Answer

$13:7$

Vedclass · Answer

(C) Let the two numbers be $a$ and $b$.Given that $a + b = 25$ and $a - b = 7 \frac{1}{2} = \frac{15}{2} = 7.5$.We need to find the ratio $a:b$.Using the componendo and dividendo rule:$\frac{a+b}{a-b} = \frac{25}{7.5} = \frac{250}{75} = \frac{10}{3}$.Applying the rule $\frac{(a+b)+(a-b)}{(a+b)-(a-b)} = \frac{10+3}{10-3}$.This simplifies to $\frac{2a}{2b} = \frac{13}{7}$.Therefore,the ratio $\frac{a}{b} = \frac{13}{7}$.

The sum of two numbers is $25$ and their difference is $7 \frac{1}{2}$. Find the ratio of the numbers.

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