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If a:b=7:4, then find (2a+7b):(7b−2a).

  1. A
    3 : 1
  2. B
    3 : 2
  3. C
    5 : 2
  4. D
    4 : 1

Solution & Step-by-step Explanation

Given
b
a
​
=
4
7
​
. We can assume a=7 and b=4.

Substitute these values into the given expression:

Ratio=
7b−2a
2a+7b
​

Ratio=
7(4)−2(7)
2(7)+7(4)
​

Ratio=
28−14
14+28
​

Ratio=
14
42
​
=
1
3
​

Thus, the ratio is 3:1.

Practice this question

Try it yourself before checking the explanation above.

If a:b=7:4, then find (2a+7b):(7b−2a).
A
3 : 1
B
3 : 2
C
5 : 2
D
4 : 1

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ratio and proportionarithmetic

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