Ask Question
30 January, 02:11

Devaughn is 6 years younger than sydney them sum of their ages is 82. What is sydneys age?

+3
Answers (2)
  1. 30 January, 02:14
    0
    Sydney is 44 years old.

    Step-by-step explanation:

    State your variables

    let x be Devaughn's age

    let y be Sydney's age

    Write equations using information from the problem

    x = y - 6 "Devaughn is 6 years younger than Sydney"

    x + y = 82 "The sum of their ages is 82"

    Solve using the substitution method

    Notice that the first equation equals to "x". The second equation has the letter "x". You can replace the second "x" using the expression in the first equation.

    x + y = 82 Second equation. Replace "x" with y - 6.

    y - 6 + y = 82 Combine like terms (add the "y"s together)

    2y - 6 = 82

    Start isolating "y"

    2y - 6 + 6 = 82 + 6 Add 6 to both sides

    2y = 88

    2y/2 = 88/2 Divide both sides by 2

    y = 44 Sydney's age

    Therefore Sydney is 44 years old.

    If you needed Devaughn's age:

    Substitute y = 44 in the first equation.

    x = y - 6

    x = 44 - 6 Subtract

    x = 38 Devaughn's age
  2. 30 January, 02:34
    0
    76

    Step-by-step explanation:

    82-6=76
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Devaughn is 6 years younger than sydney them sum of their ages is 82. What is sydneys age? ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers