If 50 is subtracted from two-third of a numbe | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let the number be $x$.According to the problem,the equation is:$\frac{2}{3}x - 50 = \frac{x}{4} + 40$Rearrange the terms to bring $x$ variables on

Vedclass · Accepted Answer

$216$

Vedclass · Answer

(B) Let the number be $x$.According to the problem,the equation is:$\frac{2}{3}x - 50 = \frac{x}{4} + 40$Rearrange the terms to bring $x$ variables on one side:$\frac{2}{3}x - \frac{x}{4} = 50 + 40$$\frac{2}{3}x - \frac{x}{4} = 90$Find a common denominator for the fractions on the left side,which is $12$:$\frac{8x - 3x}{12} = 90$$\frac{5x}{12} = 90$Multiply both sides by $12$:$5x = 90 	imes 12$$5x = 1080$Divide by $5$:$x = \frac{1080}{5}$$x = 216$Thus,the number is $216$.

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

Similar Questions

The difference of two numbers is $1365$. On dividing the larger number by the smaller, we get $6$ as quotient and $15$ as remainder. What is the smaller number?

The sum of the squares of two consecutive even numbers is $6500.$ Which is the smaller number?

How many positive factors of $160$ are there?

If $16 \%$ of $40 \%$ of a number is $8,$ the number is

The sum of the first $45$ natural numbers is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module