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Question
If 4x + 3 : 7x − 1 be the duplicate ratio of 3 : 4, find the value of x.
Sum
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Solution
The duplicate ratio of 3 : 4
= 32 : 42
= 9 : 16
Now,
`(4x + 3)/(7x - 1) = 9/16`
⇒ 16(4x + 3) = 9(7x − 1)
⇒ 64x + 48 = 63x − 9
⇒ 64x − 63x = − 9 − 48
⇒ x = −57
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Chapter 7: Ratio and proportion - Exercise 7A [Page 116]
