The sum of one-half of a number and one-third of the same number is 5 more than one-fourth of the number. If the number is x, write x/2 + x/3 = x/4 + 5 and find x.

Question

Accepted Answer

8.571. Multiply by 12: 6x + 4x = 3x + 60, so 10x = 3x + 60, giving 7x = 60 and x = 60/7 = 8.571 (approx).

The sum of one-half of a number and one-third of the same number is 5 more than one-fourth of the number.
If the number is $x$ , write $\frac{x}{2} + \frac{x}{3} = \frac{x}{4} + 5$ and find $x$ .

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More Class 8 Reducing to Simpler Form practice

The sum of one-half of a number and one-third of the same number is 5 more than one-fourth of the number. If the number is x, write 2x​+3x​=4x​+5 and find x.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Reducing to Simpler Form practice

The sum of one-half of a number and one-third of the same number is 5 more than one-fourth of the number.
If the number is $x$ , write $\frac{x}{2} + \frac{x}{3} = \frac{x}{4} + 5$ and find $x$ .