Question

Twice June's age increased by one is three times her age decreased by 10.

Write and solve an equation to find June's age.
A) 2x + 1 = 3x - 10
B) 2x + 1 = 3x + 10
C) 2x - 1 = 3x - 10
D) 2x - 1 = 3x + 10

Answer 1

The correct equation for the given word problem is '2x + 1 = 3x - 10', which after solving, reveals that June's age is 11 years old.

Step-by-step explanation:

The question is asking to solve an equation based on the given word problem that involves June's age. The equation that represents the word problem 'Twice June's age increased by one is three times her age decreased by 10' is 2x + 1 = 3x - 10, which corresponds to option A. To find June's age, let's solve this equation step by step:

1. Subtract 2x from both sides: 2x + 1 - 2x = 3x - 10 - 2x, which simplifies to 1 = x - 10.
2. Add 10 to both sides: 1 + 10 = x - 10 + 10, resulting in 11 = x.
3. So, June's age is 11 years old.