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Answer:

the two numbers are 62 and 26

Step-by-step explanation:

the product of these numbers is 1612

and sum is 88

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The two numbers are 26 and 62

Let the two numbers be x and y

If the sum of the numbers is 88, then;

  • x + y = 88 ...........................1

If the product of the numbers is 1612, then;

  • xy = 1612 .............................. 2

From equation 2;

x = 1612/y

Substitute into 1:

1612/y + y = 88

1612 + y² = 88y

y² - 88y + 1612 = 0

Factorize the result to have y = 26 and 62

Since x = 1612/y, the value of y is 26 and 62

Hence the two numbers are 26 and 62

Learn more on factorization here: https://brainly.com/question/25829061