Ask Question
10 December, 09:35

Lindsay is 5 years younger than Mark. Seven years ago, the sum of their ages was 31.

Let l be Lindsay's age and let m be Mark's age

+5
Answers (1)
  1. 10 December, 10:08
    0
    The present age of Mark is 25 years.

    And present age of Lindsay is 20 years.

    Step-by-step explanation:

    Let us assume:

    The present age of Lindsay = l

    The present age of Mark = m

    ⇒ Age of Lindsay seven years ago = (l - 7) years

    and Age of Mark seven years ago = (m - 7) years

    According to question:

    Lindsay is 5 years younger than Mark ⇒ l = m - 5

    Seven years ago, the sum of their ages was 31 ⇒ (l-7) + (m - 7) = 31

    So, the given set of equation are:

    l = m - 5 ... (1)

    (l-7) + (m - 7) = 31

    ⇒ ((m - 5) - 7) + (m - 7) = 32 (from (1)

    or, m - 12 + m - 7 = 31

    or, 2m = 31 + 19 = 50

    ⇒ m = 50 / 2 = 25, or m = 25

    Hence, the present age of Mark = 25 years

    So, the present age of Lindsay = 25 - 5 = 20 years
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Lindsay is 5 years younger than Mark. Seven years ago, the sum of their ages was 31. Let l be Lindsay's age and let m be Mark's age ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers