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If 50 is subtracted from two-third of number, the result is equal to sum of 40 and one-fourth of that number. What is the number?

If 50 is subtracted from two-third of number, the result is equal to sum of 40 and one-fourth of that number. What is the number?

Explanation

Let the number be x

Then,

⇔23x−50=14x+40⇔23x−14x=90⇔5x12=90⇔x=(90×125)⇔x=216