The least whole number which,when subtracted | vedclass

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Question

(A) Let the terms of the ratio be $4k$ and $5k$. Since we are looking for a specific number to subtract from both terms to get a new ratio,we can repr

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(A) Let the terms of the ratio be $4k$ and $5k$. Since we are looking for a specific number to subtract from both terms to get a new ratio,we can represent the terms as $4$ and $5$ directly for the calculation of the constant value $x$.
According to the problem,when a number $x$ is subtracted from both terms,the ratio becomes $3:4$.
This can be written as the equation:
$\frac{4-x}{5-x} = \frac{3}{4}$
Now,cross-multiply to solve for $x$:
$4(4-x) = 3(5-x)$
Expand both sides:
$16 - 4x = 15 - 3x$
Rearrange the terms to isolate $x$:
$16 - 15 = 4x - 3x$
$1 = x$

The least whole number which,when subtracted from both the terms of the ratio $4:5$,gives a ratio equal to $3:4$ is:

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