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Elephants
Thanks Circus
Answer:
Jumbo
is
thirty years old and Dumbo is twelve years old.
AI answer
Let's use algebra to solve this problem.
Let (J) represent Jumbo's age and (D) represent Dumbo's age.
The information given can be expressed in two equations:
1. ( J + D + 18 = 2J ) (Jumbo's age + Dumbo's age + 18 is twice Jumbo's age)
2. ( (J - D) - 6 = D ) ((Jumbo's age - Dumbo's age) - 6 is equal to Dumbo's age)
Now, let's solve these equations:
Equation 1: ( J + D + 18 = 2J )
Subtract (J) from both sides:
[ D + 18 = J ]
Equation 2: ( (J - D) - 6 = D )
Combine like terms:
[ J - D - 6 = D ]
Add (D) and 6 to both sides:
[ J = 2D + 6 ]
Now we can substitute the expression ( D + 18 ) for (J) in the second equation:
[ D + 18 = 2D + 6 ]
Subtract (D) from both sides:
[ 18 = D + 6 ]
Subtract 6 from both sides:
[ 12 = D ]
Now that we know Dumbo's age (( D = 12 )), we can find Jumbo's age using the first equation:
[ J + 12 + 18 = 2J ]
Combine like terms:
[ 30 = J ]
So, Jumbo is 30 years old, and Dumbo is 12 years old.
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