Question

If the ratio of the number of votes received by two candidates after an election is 23:26 and the
difference between the votes is the largest two digit number, what is the number of votes received by
the candidate who lost the election?​

Answer 1

Answer:

759

Step-by-step explanation:

l=23x

w=26x

26x-23x=3x<- 99 is largest two digit number from question

x=33

23*33=759

Answer 2

Given: The ratio of the number of votes received by two candidates after an election = 23:26.

The difference between the votes is the largest two digit number.

To find: The number of votes received by the candidate who lost the election

Solution: Let the number of votes received by the two candidates be 23x and 26x.

The largest two digit number is 99.

So according to the question,

26x - 23x = 99

⇒ 3x = 99

⇒ x = 99/3

⇒ x = 33

Therefore, the number of votes received by the candidate who lost the election = 23x = 23 × 33 = 759.

Answer: 759