Question 1133073
Let x= Age of younger student
Then
2x is the age of the older student
5(2x)=10x is the age of the teacher<br>

10x+5 = 5(x+5)  

Solve the above for x  to get x=4 —> teacher is 10x=40 years old

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Ans: the teacher is 40 years old
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Check:
Younger student is 4
Older student is 2*4=8
Teacher is 40 (=5*8, in agreement with teacher being 5 times as old as older student)
In 5 years,
Younger student will be 9
Teacher will be 45 (= 9*5, so this answer checks)