Find the three consecutive even integers such that five times the smallest is four times the largest
Let the smallest of three be x.
The second one is x+2 (why?)
The third one is x+4; (why?)
It is known that 5*x=4*(x+4); Five times the smallest equals four times the largest.
From this, we obtain:
5x=4(x+4)=4x+16
x=16
x+2=18;
x+4=20:
Answer:
16,18, and 20