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scoundrel [369]
3 years ago
6

A number was written on the board. One student increased the number by 23, but another student decreased the number by 1. The fi

rst student’s result was 7 times greater than the result of the second student. What is the number written on the board?
Mathematics
1 answer:
kodGreya [7K]3 years ago
4 0

Answer:

5

Step-by-step explanation:

let the number written on the board be x.

1st student's number= x +23

2nd student's number= x -1

<em>1</em><em>st</em><em> </em><em>student</em><em>'</em><em>s</em><em> </em><em>number</em><em>=</em><em> </em><em>7</em><em>(</em><em>t</em><em>h</em><em>a</em><em>t</em><em> </em><em>o</em><em>f</em><em> </em><em>the</em><em> </em><em>2nd</em><em> </em><em>student</em><em>)</em><em>,</em>

x +23= 7(x -1)

x +23= 7x -7 <em>(</em><em>expand</em><em>)</em>

7x -x= 23 +7 <em>(</em><em>bring</em><em> </em><em>constant</em><em> </em><em>to</em><em> </em><em>1</em><em> </em><em>side</em><em>)</em>

6x= 30 <em>(</em><em>simplify</em><em>)</em>

x= 30 ÷6 (÷6 on both sides)

x= 5

Thus, the number written on the board is 5.

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