Consistency and Inconsistency of Linear Equations in Two Variables
Find the numb...
Question
Find the number which when multiplied by 7 is increased by 78.
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Solution
Let the required number be x.
Given that, when multiplied by 7, it gives 7x, and x increases by 78.
According to the question we can write as 7x = x + 78 ⇒7x–x=78 ⇒6x=78
Dividing both sides by 6 ⇒6x6=786 ⇒x=13
Thus, the required number is x = 13.