Of three numbers, second is twice the first and is also thrice the third. If the average of three numbers is 44, find the largest.
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then,
second number =2x=2x
third number =2x3=2x3
Average of three numbers is 4444
=> sum of the three numbers =3×44=132=3×44=132
⇒x+2x+2x3=132⇒9x+2x3=132⇒11x3=132⇒x3=12⇒x=36⇒x+2x+2x3=132⇒9x+2x3=132⇒11x3=132⇒x3=12⇒x=36
Largest number =2x=72