(iii) The difference between the squares of two consecutive odd numbers is 56. Find the
numbers.
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Let the numbers be x & x+2
According to the question-
(x+2)² - x² = 56
(x+2+x)(x+2-x) = 56
(2x+2) * 2 = 56
2x+2 = 28
2x = 26
x = 13
x+2 = 15
The numbers are 13 and 15
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