Asked by Anonymous
Two consecutive even numbers have a product of 288. What are the numbers?
The answer I got through trial and error was 18 and 16. Is there a way for me to form the question into an equation and work that out to find the answer, instead of just guessing numbers? Thanks.
The answer I got through trial and error was 18 and 16. Is there a way for me to form the question into an equation and work that out to find the answer, instead of just guessing numbers? Thanks.
Answers
Answered by
Steve
what do you know about even numbers? They differ by 2, right?
So, if the smaller number is x, then the larger one is x+2
x(x+2) = 288
now solve that.
Or, if you consider u as the number between the two even ones, then
(u-1)(u+1) = u^2-1 = 288
u^2 = 289
u=17
so the numbers are 16 and 18.
So, if the smaller number is x, then the larger one is x+2
x(x+2) = 288
now solve that.
Or, if you consider u as the number between the two even ones, then
(u-1)(u+1) = u^2-1 = 288
u^2 = 289
u=17
so the numbers are 16 and 18.
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