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A number, half of that number, and 1/5 of that number added. Result is 51. What is the original number?

Respuesta :

Answer:

30

Step-by-step explanation:

let the original number be x then

x + [tex]\frac{1}{2}[/tex] x + [tex]\frac{1}{5}[/tex] 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


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