1.

The product of two consecutive even numbers is 11448. what is the greater of two numbers

Answer»

Let the TWO numbers be x and x+2 (as they're EVEN)

According to the question :-

(x)(x + 2) = 11448
Or x²+2x = 11448
Or x² + 108x - 106 x - 11448 = 0
Or x(x+108)-106(x+108) = 0
Or (x-106)(x+108)
Or x = 106, and x = - 108
Take 106 as x because it is POSITIVE even. Then x +2 = 106+2 =108

The two numbers are 106 and 108. 108 is the GREATER number.



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