# 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?

- 174
- 216
- 246
- 336

**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.