Find the number that can be subtracted from both terms of the ratio 43 : 91 so that the ratio becomes 3 : 7.
Find the number that can be subtracted from both terms of the ratio 43 : 91 so that the ratio becomes 3 : 7.
अनुपात 43 : 91 के दोनों पदों से घटाई जा सकने वाली संख्या ज्ञात कीजिए जिससे कि अनुपात 3 : 7 हो जाए।
Detailed Solution & Logic
Correct Answer:
7
Solution:
Let number to subtract be $x$
So:
$\frac{43 - x}{91 - x} = \frac{3}{7}$
Cross multiply:
$7(43 - x) = 3(91 - x)$
$301 - 7x = 273 - 3x$
Solve:
$301 - 273 = 7x - 3x$
$28 = 4x$
$x = 7$
✅ Final Answer: 7
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