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If a : b = 4 : 1, then find (a - 3b)/(2a - b)

🗓 Mar 12, 2025

Answer is "1/7"

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Anonymous 🌐 Bihar
Answer: Option B

Explanation:
According to the question,
a/b = 4/1
We know,
Product of means = product of extremes
.•. a × 1 = b × 4
a = 4b
(a - 3b)/(2a - b) [Replace the value of ‘a’ as 4b.]
= (4b - 3b)/(8b - b)
= b/7b
= 1/7 (Ans.)

Simple method :
According to the question -
a = 4 and b = 1
(4 - 3)/(8 - 1)
= 1/7 (Ans.)
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