Question
Download Solution PDFIf a : b = 7 : 9 and b : c = 15 : 7, then a : b : c is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
a : b = 7 : 9
b : c = 15 : 7
Calculation:
a : b = 7 : 9 ..................(1)
b : c = 15 : 7 ..................(2)
As, b is common in both the equations, so to make b equal
Multiply eq(1) by 15 and eq(2) by 9 , we get
a : b = ( 7 × 15) : ( 9 × 15)
b : c = ( 15 × 9 ) : ( 7 × 9)
⇒ a : b = 105 : 135
⇒ b : c = 135 : 63
Now, a : b : c = 105 : 135 : 63 = 35 : 45 : 21
Hence, a : b : c is 35 : 45 : 21.
Last updated on Jul 18, 2025
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