If the sum of two numbers is 25 and their product is 144, then what is the position difference between the two numbers?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 7
Let the two numbers be a and b.
Given, a + b = 25
and a × b = 144
We know,
(a - b)2 = (a + b)2 - 4 × a × b
⇒ (a - b)2 = 252 - 4 × 144 = 625 - 576
⇒ (a - b)2 = 49
⇒ a - b = 7