The sums of squares of two consecutive positive odd numbers is 290. Find the number.
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The sums of squares of two consecutive positive odd numbers is 290. Find the number.
Given:
The sums of squares of two consecutive positive odd numbers is 290
To find:
Find the number.
Solution:
Let the two consecutive number be x and (x+2)
According to question, we have
or,
Since the number is positive,the number is x = 11
.°. x + 2 = 11 + 2 = 13
Therefore,
sum of numbers is = ( 11 + 13 ) = 24
Therefore, the number is 24
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