Joan is 5 years older than ellen, and 3 years ago the sum of their ages was 17 years. in how many years will joan be 21 years ol d?
2 answers:
Answer:
In 7 Years
Step-by-step explanation:
Ellen's age = x
Joan's age = x + 5
3 Years ago
(x-3)+(x+5-3)=17
2x+5-6=17
2x=18
x=9
Hence Joan's age is 9+ 5 = 14
21 - 14 = 7
In 7 years Joan will be 21 years old
For this case, the first thing we must do is define variables.
We have then:
x: number of years of Joan y: number of years of ellen We now write the system of equations:
Solving the system we have:
So that Joan is 21 years old then:
Answer: joan will be 21 years old in 12 years
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