Answer:
21:8
Step-by-step explanation:
Given information:
Lori (x) is 8 years old.
In 5 years (x + 5), Philip will be twice Lori's age (y + 5 = 2(x + 5))
The missing value, y, is needed to find the ratio for Lori's and Philip's ages in the present. To find y, solve this equation:
y + 5 = 2(x + 5) First, distribute the 2 into x + 5.
y + 5 = 2x + 10 Next, isolate the variable y by subtracting 5 from both sides.
y = 2x + 5 After that, add in the value of x, 8.
y = 2(8) + 5 Finally, simplify the right side to find Philip's age.
y = 16 + 5
y = 21
Now for the easiest part: The ratio of Philip's age now to Lori's age now.
because 21 is not divisible by any of 8's factors, the current ratio of 21:8 cannot be simplified further.
So, the ratio is 21:8
