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K is 3 times as old as L. If the sum of their ages is 48, what is K's age?

Practice Questions

Q1
K is 3 times as old as L. If the sum of their ages is 48, what is K's age?
  1. 36
  2. 24
  3. 30
  4. 18

Questions & Step-by-Step Solutions

K is 3 times as old as L. If the sum of their ages is 48, what is K's age?
  • Step 1: Let L's age be represented by the variable x.
  • Step 2: Since K is 3 times as old as L, we can express K's age as 3x.
  • Step 3: Write an equation for the sum of their ages: x + 3x = 48.
  • Step 4: Combine like terms in the equation: 4x = 48.
  • Step 5: Solve for x by dividing both sides of the equation by 4: x = 48 / 4.
  • Step 6: Calculate the value of x: x = 12, which is L's age.
  • Step 7: To find K's age, multiply L's age by 3: K's age = 3 * 12.
  • Step 8: Calculate K's age: K's age = 36.
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