AI answer
Let's verify if Jack's and
Jill's ages indeed satisfy the given conditions.
Jack's
answer was obtained by subtracting one age from the other, which means:
[ |J -
K| = 44 ]
Given
that Jack's answer was 44, this implies that the absolute difference
between Jack's and Jill's ages is 44.
So, if
we suppose Jack is older than Jill:
[ J -
K = 44 ]
And if
we suppose Jill is older than Jack:
[ K -
J = 44 ]
Now,
let's verify if Jill's inserted answer was the product of their ages:
[ J
\times K = 1280 ]
Given
that Jack's and Jill's ages are 64 and 20, respectively, let's check if
their ages satisfy all the conditions:
1.
Absolute difference of their ages is 44:
[
|64 - 20| = 44 ] ✔️
2.
Product of their ages is 1280:
[
64 \times 20 = 1280 ] ✔️
Thus,
Jack is 64 years old and Jill is 20 years old, and they indeed satisfy
all the given conditions.
