Question
Download Solution PDFWhat must be subtracted from each term of 15 : 19 so that the ratio of new numbers become 3 : 4?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Original numbers: 15 and 19
New ratio: 3 : 4
Formula used:
If x is subtracted from each term, the new numbers become (15 - x) and (19 - x).
New ratio equation: (15 - x) / (19 - x) = 3 / 4
Calculation:
(15 - x) / (19 - x) = 3 / 4
⇒ 4 × (15 - x) = 3 × (19 - x)
⇒ 60 - 4x = 57 - 3x
⇒ 60 - 57 = 4x - 3x
⇒ 3 = x
∴ The correct answer is option (1).
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