Question
Download Solution PDFu : v = 4 : 7 and v : w = 9 : 7. If u = 72, then what is the value of w?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
u : v = 4 : 7 and v : w = 9 : 7
Concept Used: In this type of question, number can be calculated by using the below formulae
Calculation:
u : v = 4 : 7 and v : w = 9 : 7
To make ratio v equal in both cases
We have to multiply the 1st ratio by 9 and 2nd ratio by 7
u : v = 9 × 4 : 9 × 7 = 36 : 63 ----(i)
v : w = 9 × 7 : 7 × 7 = 63 : 49 ----(ii)
Form (i) and (ii), we can see that the ratio v is equal in both cases
So, Equating the ratios we get,
u ∶ v ∶ w = 36 ∶ 63 ∶ 49
⇒ u ∶ w = 36 ∶ 49
When u = 72,
⇒ w = 49 × 72/36 = 98
∴ Value of w is 98
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