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The product of two consecutive positive integers is 5 more than five times the smallest integer. Find the value of the larger integer.

الحلّ

The product of two consecutive positive integers is 5 more than five times the smallest integer. Find the value of the larger integer.

الحلّ

The number : 6

خطوات الحلّ

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x (x + 1) = 5 + 5 x

x (x + 1) = 5 + 5 x

حلّ:

x = 5, x = - 1

Select positive solutions:

5

x + 1 = 5 + 1 = 6

The number : 6

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