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Popular >

the product of two consecutive odd numbers is 10 more than the square of the smaller number. FIND THE SMALLER NUMBER

Solution

the product of two consecutive odd numbers is 10 more than the square of the smaller number. FIND THE SMALLER NUMBER

Solution

The smallest number : 5

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

x (x + 2) = 10 + x^{2}

Solve

x (x + 2) = 10 + x^{2} : x = 5

x + 2 = 5 + 2 = 7

Select the smallest solution:

5

The smallest number : 5

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