Anumber, half of that number, and 1/5 of that number added. result is 51. what is the original number?

30

Step-by-step explanation:

let the original number be x then

x + x + x = 51

multiply through by the lowest common multiple of 2 and 5, that is 10, to eliminate the fractions

10x + 5x + 2x = 510

17x = 510 ( divide both sides by 17 )

x = 30

Thus the original number is 30

48, 54 and 60

Step-by-step explanation:

Let the three multiples be 6x, 6(x+1) and 6(x+2) respectively.

6x+6(x+1)+6(x+2)=162

6x+6x+6+6x+12=162

18x=144

x=8

Therefore, the three multiples are 6(8), 6(8+1) and 6(8+2)

i.e. 48, 54 and 60