Question
Download Solution PDFWhat should be added to each term of the ratio 5 : 11 so that the ratio becomes 3 : 5?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Initial ratio = 5 : 11
Final ratio = 3 : 5
Formula used:
If each term of the ratio a : b is increased by x, the new ratio becomes (a + x) : (b + x)
Calculations:
Let the number to be added to each term be x.
(5 + x)/(11 + x) = 3/5
⇒ 5(5 + x) = 3(11 + x)
⇒ 25 + 5x = 33 + 3x
⇒ 5x - 3x = 33 - 25
⇒ 2x = 8
⇒ x = 4
∴ The correct number to be added to each term is 4.
Last updated on Jun 26, 2025
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