Question

If 3 is added to twice the number n, the result is the same as if n were increased by 10. What is the value of n?

Answer 1

To find the value of n that satisfies the equation 2n + 3 = n + 10, we solve for n by first subtracting n from both sides and then subtracting 3 from both sides, giving us n = 7.

Step-by-step explanation:

If 3 is added to twice the number n, the result is the same as if n were increased by 10. To find the value of n, we need to express this relationship as an equation and solve for n. The relationship can be written as:

2n + 3 = n + 10

To solve for n, follow these steps:

1. Subtract n from both sides of the equation: 2n + 3 - n = n + 10 - n, which simplifies to n + 3 = 10.
2. Subtract 3 from both sides: n + 3 - 3 = 10 - 3, simplifying to n = 7.

The value of n that satisfies the given condition is 7.