Final answer:
To solve this problem, set up an equation with the unknown number as x. Simplify the equation by getting rid of the fractions. Solve for x by isolating it on one side of the equation. Round the solution to the nearest whole number if necessary.
Step-by-step explanation:
To solve this problem, let's set up an equation. Let's say the number is x. According to the problem, when 1/3rd of x is subtracted from twice x, the difference is 10 more than 1/7th of x. So, we have the equation: 2x - (1/3)x = (1/7)x + 10.
To solve for x, we need to get rid of the fractions. We can do this by multiplying the entire equation by the common denominator, which is 21. Multiplying each term, we have: 42x - 7x = 3x + 210.
Simplifying, we get: 35x = 3x + 210. Subtracting 3x from both sides, we have: 32x = 210. Finally, dividing both sides by 32, we find that x = 6.5625.
Since the answer options are given as whole numbers, we can round x to the nearest whole number, which is 7. Therefore, the value of the number is 7.