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If I is 5 years older than J and the sum of their ages is 45, what is J's age?

Practice Questions

Q1
If I is 5 years older than J and the sum of their ages is 45, what is J's age?
  1. 20
  2. 22
  3. 25
  4. 23

Questions & Step-by-Step Solutions

If I is 5 years older than J and the sum of their ages is 45, what is J's age?
  • Step 1: Define J's age as a variable. Let's call J's age 'x'.
  • Step 2: Since I is 5 years older than J, we can express I's age as 'x + 5'.
  • Step 3: Write an equation for the sum of their ages. The equation is 'x + (x + 5) = 45'.
  • Step 4: Simplify the equation. Combine like terms: '2x + 5 = 45'.
  • Step 5: Subtract 5 from both sides of the equation: '2x = 40'.
  • Step 6: Divide both sides by 2 to solve for x: 'x = 20'.
  • Step 7: Conclude that J's age is 20.
  • Algebraic Equations – The question tests the ability to set up and solve a simple algebraic equation based on relationships between variables.
  • Word Problems – The question involves translating a word problem into a mathematical equation, which is a key skill in problem-solving.
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