A= 5k+3= 3m+1 = 7n+12
min(А)=?
а) 93
б) 100
в) 103
д) 105
е) 107

Предыдущий
вопрос Следующий
вопрос

To find the minimum value of A, we need to look at the lowest possible values of k, m, and n that satisfy the equation.

From the given equation:
5k + 3 = 3m + 1 = 7n + 12

Let's compare the terms in pairs:
5k + 3 = 3m + 1
5k = 3m - 2
k = (3m - 2)/5

3m + 1 = 7n + 12
3m = 7n + 11
m = (7n + 11)/3

Now, replace k and m in terms of n into the equation:
5((3m - 2)/5) + 3 = 3m + 1
3m - 2 + 3 = 3m + 1
m = 0

(7n + 11)/3 = 0
7n + 11 = 0
7n = -11
n = -11/7

Now, let's find the minimum value of A:
A = 5(0) + 3 = 3(0) + 1 = 7(-11/7) + 12
A = 3 = 1 = -11 + 12
A = 3

Therefore, the minimum value of A is 3.

Answer: б) 100