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u : v = 4 : 7 and v : w = 9 : 7. If u = 72, then what is the value of w?
- a)98
- b)77
- c)63
- d)49
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
u : v = 4 : 7 and v : w = 9 : 7. If u = 72, then what is the value of ...
: v = 4 : 7 and v : w = 9 : 7
Let's solve this step by step:
: v = 4 : 7
This means that the ratio between u and v is 4:7. We can write this as:
u/v = 4/7
: w = 9 : 7
This means that the ratio between v and w is 9:7. We can write this as:
v/w = 9/7
We are given that u = 72. We can substitute this value in the equation u/v = 4/7 to find the value of v.
72/v = 4/7
Cross multiplying, we get:
4v = 72 * 7
4v = 504
Dividing both sides by 4, we get:
v = 504/4
v = 126
Now, we can substitute the value of v in the equation v/w = 9/7 to find the value of w.
126/w = 9/7
Cross multiplying, we get:
9w = 126 * 7
9w = 882
Dividing both sides by 9, we get:
w = 882/9
w = 98
Therefore, the value of w is 98.
Answer: Option A - 98
Let's solve this step by step:
: v = 4 : 7
This means that the ratio between u and v is 4:7. We can write this as:
u/v = 4/7
: w = 9 : 7
This means that the ratio between v and w is 9:7. We can write this as:
v/w = 9/7
We are given that u = 72. We can substitute this value in the equation u/v = 4/7 to find the value of v.
72/v = 4/7
Cross multiplying, we get:
4v = 72 * 7
4v = 504
Dividing both sides by 4, we get:
v = 504/4
v = 126
Now, we can substitute the value of v in the equation v/w = 9/7 to find the value of w.
126/w = 9/7
Cross multiplying, we get:
9w = 126 * 7
9w = 882
Dividing both sides by 9, we get:
w = 882/9
w = 98
Therefore, the value of w is 98.
Answer: Option A - 98
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Community Answer
u : v = 4 : 7 and v : w = 9 : 7. If u = 72, then what is the value of ...
Given:
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
Formula Used: if u ∶ v = a ∶ b, then u × b = v × a.
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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