Question

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

a. 46
b. 24
c. 48
d. 100

Answer 1

Step-by-step 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

Answer 2

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