A number is divided into two parts such that 2times of one part is equal to 3 times of other.if the number is multiplied by2 and 20is added gives 120. 1question : The original number is
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In the given question, take one part of the number as a variable, then the other part will be that variable plus 10. Equate their ratio to 5 : 3 Then add the two parts to find the number. So, use this concept to reach the solution of the problem.
Complete step-by-step answer:
Let one part of the number is x
Other part will be variable plus 10 so other part is x + 10
As the ratio of the two parts is 5 : 3, we have
= x+10 by x = 5/3
= (x+10) 3 = 5x
= 3x + 30 = 5x
= 30 = 5x - 3x
= 30 = 2x
∴ x = 15
So, one part of the number is 15 and other part is 15 + 10 = 25
Thus, the required number is 15 + 25 = 40.
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