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Ann [662]
2 years ago
14

PLEASE ANSWER WITH ALL THE MATH

Mathematics
1 answer:
Colt1911 [192]2 years ago
8 0

9514 1404 393

Answer:

  • Jacob: 4
  • his mother: 39

Step-by-step explanation:

Let J and M represent the current ages of Jacob and his Mother.

<u>currently</u>:

  M = 3 +9J

<u>in 11 years</u>:

  M+11 = 5 +3(J+11)

Using the first equation to substitute for M in the second, we have ...

  (3 +9J) +11 = 5 +3(J +11) . . . . . substitute for M

  9J +14 = 3J +38 . . . . . . simplify

  6J + 24 . . . . . . . . . . subtract 3J+14

  J = 4 . . . . . . . . . . divide by 6

  M = 3 +9(4) = 39

Jacob is 4 and his mother is 39.

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