Question

20. A shopkeeper has 5 red pens, x green pens and8 black pens. If range of the data is a multiple of 7and x is a two-digit prime number, then the sum ofdigits of maximum possible value of x is(1) 17(2) 12(3) 16(4) 15​

Answer 1

Answer:

17

Step-by-step explanation:

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Answer 2

Answer:

x = 17

Step-by-step explanation:

Red Pens - 5

Green Pens - x

Black Pens - 8

Range is multiple of 7.

Range is Highest Value - Lower Value.

Since it is mentioned x is 2 digit number, Highest value has to be x.

So, x - 5 is multiple of 7

So given, x is 2 digit prime number and highest which satisfies x - 5 is multiple of 7 .

So, checking with x = 97

97 - 5 = 92 this is not divisible by 7.

Now, checking with x = 89

89 - 5 = 84 which is divisible by 7.

So, x = 89

Sum of digits = 8 + 9 = 17