Two numbers are in the ratio 1: 2. If 7 is ad | vedclass

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(C) Let the two numbers be $k$ and $2k$ based on the given ratio $1:2$.According to the problem,if $7$ is added to both numbers,the new ratio becomes

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$28$

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(C) Let the two numbers be $k$ and $2k$ based on the given ratio $1:2$.According to the problem,if $7$ is added to both numbers,the new ratio becomes $3:5$:$\frac{k+7}{2k+7} = \frac{3}{5}$Cross-multiplying the terms:$5(k+7) = 3(2k+7)$Expanding both sides:$5k + 35 = 6k + 21$Rearranging the terms to solve for $k$:$35 - 21 = 6k - 5k$$k = 14$The two numbers are $k = 14$ and $2k = 2(14) = 28$.Therefore,the greatest number is $28$.

Two numbers are in the ratio $1: 2$. If $7$ is added to both,their ratio changes to $3: 5$. The greatest number is

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