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Question

In each of the problem below the result of doing some operation on a number is given. Find the number?

1).  3 added to double is 101 

2). 2 added to triple is 101 

3).3subtracted from double is 101 

4). 2 subtracted from triple is 101 


Solution

it can be written as given below 
case 1 
 

3 added to double is 101 

which means when we add 3  to a double number gives 101
let the number = x  
mathemattically it can be represented as 

3+2x = 101 

2x= 101-3 
    = 98
x=98/2
  = 49
so number is 49
2)

2 added to triple is 101 

let the number is y 
mathemattically it can be written as 

2+3y =101

3y= 101-2
    = 99

y= 99/3

    =33

3)
3subtracted from double is 101 

let  the number is z  

it can be written as 

2z- 3 = 101

2z = 101+3
    = 104
z= 52 

4)
 

2 subtracted from triple is 101 
let the number = p 

3p-2=101

3p = 101+2
    = 103
p = 103/3 
which is the number 

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