6. 2 Given distinct single digits A, B, C, D, E, X, Y suppose we have A + B + C + D + E = XY where the two-digit number XY has value 10X + Y. To make XY a greatest value, the value of Y should be
(1) 4
(2) 3
(3) 2
(4) 1
Answers
Answer:
Given, x and y are digits such that x, y and 10x + y are prime
numbers and their product is n largest possible.
so x = 7 and y = 3 WHY????
since n is largest possible product so choosing x
as largest prime digit i.e 7
and y can’t be 7 as 10x+y would be divisible by 7 but given it is
a prime number and it can’t be 5 also as 10x+y=75 not a prime thus y=3
which makes 10x+y=73 i.e. a prime number as required
Now, n = (7)*(3)*(73) = 1533
hence sum of digits of n = 1+5+3+3=12.
Answer:
To make XY a greatest value, the value of Y should be 3.
Step-by-step explanation:
Given that x and y are two numbers, then x, y, and 10x + y are all prime numbers.
numbers, and their final outcome is as enormous as feasible.
Consequently, x = 7 and y = 3.
Since n is the greatest possible product, selecting x makes sense.
as the seventh, which is the greatest prime digit.
and y cannot be 7 because 10x+y would be divisible by 7, yet given that it is
a prime number, it cannot be 5, and since 10x+y=75 is not a prime number, y=3
It results in the required prime number 10x+y=73.
Now, n = (7)*(3)*(73) = 1533
Consequently, the sum of n's digits is 1+5+3+3=12.
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