Answer:Let's assume that Eli's current age is "E" and Elena's current age is "L".
Explanation:
From the first statement, we know that:
E + L = 50 ... (1)
From the second statement, we also know that 7 years ago, Elena's age was 8 times greater than Eli's age. So we can write:
L - 7 = 8(E - 7) ... (2)
We can simplify equation (2) by distributing the 8:
L - 7 = 8E - 56
Adding 7 to both sides:
L = 8E - 49 ... (3)
Now we can substitute equation (3) into equation (1) to solve for E:
E + (8E - 49) = 50
Simplifying:
9E - 49 = 50
Adding 49 to both sides:
9E = 99
Dividing by 9:
E = 11
So Eli's current age is 11 years old.
To find Elena's age, we can use equation (3):
L = 8E - 49
Substituting E = 11:
L = 8(11) - 49
Simplifying:
L = 88 - 49
L = 39
So Elena's current age is 39 years old.
Therefore, the answers are:
Part A: Eli's age today is 11.
Part B: Elena's age today is 39.