Question

Find the value of N the expression 24 : N = 12 : 17.
​

Answer 1

N=34
To solve this you figure out how they got the number 24 to be 12, in this case they divided by 2. So, to figure out what number divided by 2 equals 17, you multiply 17 by 2, which is 34.
I hope this helps, if you have any questions please feel free to ask! :)

Answer 2

N = 34

Explanation:

METHOD I

(hit and trial)

The given two ratios have to be equal.

This means, 24 : N must break down to 12 : 17 after dividing it by some common factor.

The common factor here is 2.

Since,

12 × 2 = 24

17 × 2 = 34

`\boxed{\mathsf{ \underline{N \: must \: be \: 34}}}`

(after dividing the first ratio by 2(common factor) we get the second ratio. Meaning that they become equivalent as required by the question).

METHOD II

(mathematical approach)

Ratios can be written in form of fractions as:

`\boxed{ \mathsf{ (24)/(N) = (12)/(17) }}`

Cross multiplying:

`\implies \mathsf{24 * 17 = 12 * N }`

taking 12 to the denominator:

`\implies \mathsf{ (24 * 17 )/(12) = N }`

24 and 12 gets canceled and 2 takes up their spot

(why?

=> 24 ÷ 12 = 2)

`\implies \mathsf{2 * 17 = N }`

`\implies \mathsf{2 * 17 = N }`

`\implies \mathsf{ N = 34 }`

`\implies \mathsf{ N = 34}`