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Linear Equations In One Variable

Question
CBSEENMA8002387

A number is such that it is as much greater than 65 as it is less than 91. Find the number.

Solution

Let the number be x.
       Since, we have [The number] - 65 = 9] - [The number]
rightwards double arrow                         x - 65 = 91 -x
rightwards double arrow                         x + x = 91 + 65
rightwards double arrow                             2x = 156
rightwards double arrow                                straight x equals 156 over 2
                                      
                                        = 78
    Thus, the required number is 78.

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