Question
Download Solution PDFIf (a - b) ∶ (a + b) = 6 ∶ 14, then find the ratio (4a + 3b) ∶ (4a - 3b).
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
(a - b) : (a + b) = 6 : 14
Concept:
Use the concept of ratios and proportions.
Solution:
⇒ a/b = 10/4 = 5/2
⇒ For the ratio (4a + 3b) : (4a - 3b), substitute a/b = 5/2.
⇒ (4a + 3b) : (4a - 3b) = (20 + 6) : (20 - 6) = 13 : 7
Therefore, the ratio (4a + 3b) : (4a - 3b) is 13 : 7.
Last updated on Jul 8, 2025
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