Question

A shopkeeper has 5 red pens X green pants and shirt black pants if range of the data is a multiple of 7 and X is a two digit prime number then the sum of digits of maximum possible value of x is ​

Answer 1

Answer:

Step-by-step explanation:

Given  

A shopkeeper has 5 red pens X green pants and shirt black pants if range of the data is a multiple of 7 and X is a two digit prime number  

Number of red pen = 5

Number of black pen = 8

Number of green pen = x

Given x is a two digit prime number.

We need to find maximum value of x

So 2 digit prime numbers are 11, 13, 17,……………93, 97

Range of the data is highest value – lowest value.

Range of data is x – 5

So x – 5 is divisible by 7

Now x/7 gives remainder 5

Numbers divisible by 7 are multiples of 7 that is 14 to 98

So x can be 14 + 5 = 19, ………42 + 5 = 47 (prime number)

77 + 5 = 82 (not prime)

84 + 5 = 89 (prime number)

91 + 5 = 96 (not prime)

Now highest value of x is 89. So sum of 8 + 9 = 17