Amrita thinks of a number. She doubles it, adds 9 , divides her answer by 3 and finally subtracts 1 . She obtains the same numbe
r she originally thought of. What was Amrita's number?
1 answer:
Answer:
Amrita's number is 6
Step-by-step explanation:
x Double the unknown number
2x Add 9
2x + 9 Divide the answer by 3
2/3x + 3 Subtract 1
2/3x + 2 Set this equal to the original number
2/3x + 2 = x
-2/3x -2/3x Subtract 2/3x from both sides
2 = 1/3x Multiply both sides by 3
6 = x
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let p(x)=180
LCM=720
HCF=36
WE HAVE TO FIND q(x)=?
as we know that
p(x)×q(x)=LCM×HCF
NOW WE HAVE TO FIND q(x)
q(x)=LCM×HCF/p(x)
q(x)=720×36/180
q(x)=25920/180
q(x)=144
i hope this will help you