When number X multiplied to its next number, the product 1260 is obtained. When Number X is added to Number Y, a total of 106 is obtained. Find the value of Number Y. (Assume numbers to be positive)
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 71.
Given that:
x × (x + 1) = 1260
Solving for x,
x2 + x - 1260 = 0
⇒ x2 + 36x - 35x -1260 = 0
⇒ x (x + 36) - 35 (x + 36) = 0
⇒ x = 35 and x = (-36)
(Since numbers are assumed positive, x = -36 will be rejected)
Also given that,
x + y = 106
Putting value for x,
y = 106 - 35
⇒ y = 71