The sum of two numbers is a hundred one number is at least 16 more than the other number. What are the numbers? Please help

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Answer:

58 and 42.

Step-by-step explanation:

Let the 2 numbers be x and 100-x.

Also let x be the largest number, so

x ≥ 100 - x + 16     ( 'At least 16' means equal to 16 or greater than 16).

Add in x to both sides:

x + x  ≥ 100 + 16

2x ≥ 116

x ≥ 58.

But since the sum of the 2 numbers is 100,  x must be 58 and the other number is 42.