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

N = 34

Step-by-step 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

(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:

Cross multiplying:

taking 12 to the denominator:

24 and 12 gets canceled and 2 takes up their spot

(why?

=> 24 ÷ 12 = 2)

something over 10 so ? /10

step-by-step explanation: