The sum of the greatest common divisor and the least common multiple of two composite numbers is 143. The product of the greatest common divisor and the least common multiple is the product of the two numbers. What are the two composite numbers

The sum of the greatest common divisor and the least common multiple of two composite numbers is 143. The product of the greatest common divisor and the least common multiple is the product of the two numbers. What are the two composite numbers

The answer is 130 and 13
”The product of the greatest common divisor and the least common multiple is the product of the two numbers, which means that the two numbers are multiple relations, 143 = 13 × 11
Divide 11 into 10 + 1, use 13 × 10 = 130, use 13 × 1 = 13
So the answer is 130 and 13
I tried, the score of 13 is not in line with the meaning of the question

Given that the sum of the greatest common divisor and the least common multiple of two composite numbers is 143, what are the two composite numbers? Why are they 33 and 44,

Let two numbers a and B, the least common multiple (set as C) must be divisible by the greatest common divisor (set as d),
143 = B + C, 143 can be divided by D, 143 = 11 * 13, then D can only be one of 1,11,13143
① If d = 1, then AB is coprime, a * b = C = 143-d = 142 = 71 * 2. Since AB is a composite number, then (2,71) and (1142) are not satisfied
② If d = 143, then d + C > 143
③ If d = 11, let a = 11m = 11n, have Mn coprime, Mn + 1 = 13, then Mn = 12 = 2 & # 178; * 3
If M and N are both greater than 1 (otherwise a or B is prime 11), then M and N can only be 3 and 4, and two composite numbers are 33 and 44 respectively
④ If d = 13, we can get a = 13m, B = 13N, Mn coprime, Mn + 1 = 11, Mn = 10 = 2 * 5,
M and N can only be 2 and 5, and the two composite numbers are 26 and 65 respectively
In conclusion, there are two sets of solutions (33,44) and (26,65)

Given that the sum of the greatest common divisor and the least common multiple of two composite numbers is 1123, what are the two composite numbers? Please~

Let the greatest common divisor of these two numbers be a, one is am, the other is an, then their least common multiple is amn. From a + amn = a (1 + Mn) = 1123, but 1123 is prime, we can know that a = 1, Mn = 1122. The two numbers are m and N respectively, and m and N are composite numbers

The sum of the greatest common divisor and the least common multiple of the two sums is 143. What are the sum of the two sums?
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The least common multiple must be the integral multiple of the greatest common divisor, and their sum is also the integral multiple of the greatest common divisor
143=11×13
The greatest common divisor is 13
The least common multiple is 143-13 = 130
The sum of these two numbers is 26 and 65