Diego is thinking of two numbers. he says, "if you double the first number and triple the second number, the sum is 102." what is the number he's thinking of?

Let the numbers that Diego thinks are x and y.

It is given that the sum of twice the first number and thrice the second number is 102.

Therefore, 2x + 3y = 102.

2x = 102 - 3y

To get the integral solution for x, the smallest number we can substitute for y is 2.

So,

x = 51 - 3

x = 48

Hence, the numbers that Diego thinks are 48 and 2.

Check:

2(48) + 3(2) = 96 + 6 = 102

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