The sum of two numbers is 28 and their difference is 2. Then which of the following statement is/are true about the two numbers?
Both are odd numbers.
One is an odd multiple of 3 and the other one is a prime.
Let the two numbers be x and y.
Let us assume that x is greater than y.
Given, the sum of these two numbers is 28.
i.e., x+y=28
Also, given that, the difference of these two numbers is 2.
i.e., x−y=2
We know that (x+y)+(x−y)=2x
Then, 28+2=2x
⟹2x=30
⟹x=15
Then x+y=28 implies that y=13 [x−y=2 may be considered too]
Hence, the two required numbers are 15 and 13.
Therefore option (b) and (c) are correct.