Answer:
4
Step-by-step explanation:
Let's represent the number as "N."
According to the problem, one-fourth of the number plus 3 gives the number:
(1/4) * N + 3 = N
Now, let's solve for N:
First, subtract (1/4) * N from both sides of the equation:
3 = N - (1/4) * N
To combine the fractions on the right side, find a common denominator, which is 4:
3 = (4/4) * N - (1/4) * N
Now, subtract the fractions:
3 = (4/4 - 1/4) * N
3 = (3/4) * N
To solve for N, divide both sides by (3/4):
N = 3 / (3/4)
To divide by a fraction, multiply by its reciprocal:
N = 3 * (4/3)
N = 12/3
N = 4
So, the number is 4.
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Answers & Comments
Answer:
4
Step-by-step explanation:
Let's represent the number as "N."
According to the problem, one-fourth of the number plus 3 gives the number:
(1/4) * N + 3 = N
Now, let's solve for N:
First, subtract (1/4) * N from both sides of the equation:
3 = N - (1/4) * N
To combine the fractions on the right side, find a common denominator, which is 4:
3 = (4/4) * N - (1/4) * N
Now, subtract the fractions:
3 = (4/4 - 1/4) * N
3 = (3/4) * N
To solve for N, divide both sides by (3/4):
N = 3 / (3/4)
To divide by a fraction, multiply by its reciprocal:
N = 3 * (4/3)
N = 12/3
N = 4
So, the number is 4.