Question
Download Solution PDFIf p is the third proportional to 8, 20 and q is the fourth proportional to 3, 5, 24, then find the value of (2p + q).
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
p is the third proportional to 8, 20
q is the fourth proportional to 3, 5, 24
Concept used:
If x is the third proportional to a, b then x = b2/a
If x is the fourth proportional to a, b, c then a/b = c/x
Calculation:
Here, p = 202/8 = 400/8 = 50
Also, 3/5 = 24/q
⇒ q = (5 × 24)/3 = 40
Then, (2p + q) = (2 × 50) + 40 = 100 + 40 = 140
∴ The value of (2p + q) is 140
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