Ask Question
22 November, 00:26

Elvira is 5 years older than Morton. Morton is twice as old as Michelle. The combined total of their ages is 85. How old is Morton?

+3
Answers (2)
  1. 22 November, 00:33
    0
    Answer: - Elvira is 37, Morton is 32 and Michelle is 16 years old.

    Create some equations:-

    Let Elvira's age be e, Morton's m years and Michelle's age = n years.

    e + m + n = 85 ... (1)

    e - m = 5 ... (2)

    n = m/2

    Substitute for n in the equation (1)

    e + (3/2) m = 85 ... (3)

    Subtract equation (2) from equation 3:-

    5/2 m = 80

    m = 32

    So e = m + 5 = 37

    and n = 32/2 = 16
  2. 22 November, 00:41
    0
    Elvira (e) is 5 years older than Morton (m)

    e = m + 5

    Morton (m) is twice as old as Michelle (c)

    m = 2c

    The combined total of their ages is 85

    e + m + c = 85

    We want m at the end so let's write everything in terms of m.

    e = m + 5

    c = m/2

    85 = e + m + c = m+5 + m + m/2 = 5 + (5/2) m

    m = (2/5) (85 - 5) = 32

    Answer: 32 years old

    Check:

    That makes Elvira 37 and Michele 16, total 32+37+16=85, good
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Elvira is 5 years older than Morton. Morton is twice as old as Michelle. The combined total of their ages is 85. How old is Morton? ...” 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