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Question

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 ?


Options:
A .  174
B .  216
C .  246
D .  336
Answer: Option B

Let the number  be `x`.

Then, `2/3 x- 50` =  `1/4 x` + 40    `hArr`   `2/3 x -  1/4 x` =  90   `hArr`  `(5x)/(12)` =   90  `hArr`  `x` = `((90xx12)/(5))`

=  216



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