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

174

No worries! We‘ve got your back. Try BYJU‘S free classes today!

216

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

246

No worries! We‘ve got your back. Try BYJU‘S free classes today!

336

No worries! We‘ve got your back. Try BYJU‘S free classes today!

416

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
216

Then,

$\frac{2}{3} x - 50 = \frac{1}{4} x + 40 \Leftrightarrow \frac{2}{3} x - \frac{1}{4} x = 90 \Leftrightarrow x = (\frac{90 \times 12}{5}) = 216.$

Suggest Corrections

Similar questions

Q. 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?

Two subtracted from one-third of a number gives 40. What is the number?

The sum of four numbers is 64. If 3 is added, subtracted, multiplied and divided to the first, second, third and fourth number respectively, then all the results are equal. What is the difference between the largest and the smallest of the original numbers?

Rita wrote a three digit number on the white board and then subtracted the sum of its digits from the number itself. Two of the digits of the resulting number are 3 and 4. What is the remaining third digit of resulting number?

Q. If

\frac{1}{6} t h

of a number is subtracted from 290, the result is equal to 50% of the number. Find the number.___

Join BYJU'S Learning Program

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

The correct option is B 216 Then, 23x−50=14x+40⇔23x−14x=90⇔x=(90×125)=216.

The correct option is B
216

Then,

$\frac{2}{3} x - 50 = \frac{1}{4} x + 40 \Leftrightarrow \frac{2}{3} x - \frac{1}{4} x = 90 \Leftrightarrow x = (\frac{90 \times 12}{5}) = 216.$