Product of two consecutive positive integers is 240. Find the integers.
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Answer:
15 and 16
Step-by-step explanation:
X^2 or X2 means ( square of x)
Let x be one integesr and (x+1) the other
*as they are consecutive*
Now , product of these two = X (x+1)
= X^2 + X
X2 + X = 240
now as 240 is a small no. we can straight away find the factors of it
= 8,2,5,3
(you can simplify it further if u want but we need big consecutive nos. so we won't simplify it further)
Now we have 8x2 and 5x3 which is 15 x16= 240
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