What will be the Number? If

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

  1. 174
  2. 216
  3. 246
  4. 336
Tahir Lecturer Asked on 26th July 2015 in Maths.
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1 Answer(s)

Answer: (2) 216
Explanation:-
Let the number be X
According to the question,
X x 2/3 = X/4 + 40
2 X/3 – 50 = X/4 + 40
2 X/3 – X/4 = 40 + 50
(2 X x 4  – X x 3)/12 = 90
8 X – 3 X = 90 x 12
5 X = 1080
X = 1080/5
X = 216
Hence, the number is 216.

Anurag Mishra Professor Answered on 26th July 2015.
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