Question

Of the three numbers second is twice the first and also thrice the third.If the average of threee number is 44,what is the largest number?

Answer 1

Answer:Largest number =72

Step-by-step explanation:

Let x, y, z be numbers.

y=2x (twice ist)

y=3z(thrice 3rd)

(x+y+z)/3=44

⇒x+y+z=44×3=132

⇒x+y+z=132

⇒$\frac{y}{2} +y+\frac{y}{3} =132\\\\\frac{3y+6y+2y}{6} =132$

11y/6 =132

11y=132*6

y=(132*6)/11 =72

⇒x=y/2=36,y=72,z=72/3=24

Largest =72