Question

Two consecutive even positive integers have a product of 2,400. What is the smaller of the two numbers?

Answer 1

Answer: Option C; 48

Explanation:

Let one number = x

Other number = x+2

According to question-

[x] [x+2] = 2400

$x^{2}$ + 2x - 2400 = 0

Solving this equation, we get-

[x - 48] [x - 50 ] = 0

x = 48 or 50

Since 48 is the smaller number here, answer is option C

Answer 2

Answer:

Explanation:

Explanation:

Let one number = x

Other number = x+2

According to question-

[x] [x+2] = 2400

+ 2x - 2400 = 0

Solving this equation, we get-

[x - 48] [x - 50 ] = 0

x = 48 or 50

Since 48 is the smaller number here, answer is option c