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Math Asked by a SnapAndSolve user · about 2 hours ago

One number is six more than a second number. Twice the first number is five more than three times the...

One number is six more than a second number. Twice the first number is five more than three times the second. Find the numbers.

Answer

Let the first number be x and the second number be y.

From the first statement: x = y + 6
From the second statement: 2x = 3y + 5

Substitute the first equation into the second:

2(y + 6) = 3y + 5
2y + 12 = 3y + 5
12 - 5 = 3y - 2y
7 = y

Substitute y = 7 back into the first equation:

x = 7 + 6
x = 13

The first number is 13 and the second number is 7.

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