The age of Eugene is 1/7 of Isaac's age. Find out the ratio of Eugene to Isaac's age in 10 years' time given that their total age will be 48 in 20 years' time. Express your answer in the simplest form
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E = (1/7)I
E + 20 + I + 20 = 48
Substitute E from the first equation into the second equation:
(1/7)I + 20 + I + 20 = 48
Combine like terms:
(8/7)I + 40 = 48
Subtract 40 from both sides:
(8/7)I = 8
Divide by (8/7):
I = 8 / (8/7) = 7
So, Isaac's current age is I = 7, and Eugene's current age is E = 1.
In 10 years:
Eugene's age = 1 + 10 = 11
Isaac's age = 7 + 10 = 17
The ratio of Eugene to Isaac's age in 10 years' time is 11/17.