SOLUTION: The difference between three times one number and a lesser one is 37. The sum of the greater number and twice the lesser number is 38. Find the numbers. Please include a "let state

Question 176895: The difference between three times one number and a lesser one is 37. The sum of the greater number and twice the lesser number is 38. Find the numbers. Please include a "let statement.".
Found 2 solutions by josmiceli, Fombitz:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the larger number =
Let the smaller number =
given:
(1)
(2)
-----------------
Multiply (1) by and
add (1) and (2)
(1)
(2)
-----------------------

And since
(2)

The numbers are 16 and 11
check:
(1)

OK
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let A be the first (greater) number and let B be the second (lesser) number.
"difference between three times one number and a lesser one is 37"
1.
"sum of the greater number and twice the lesser number is 38"
2.
From eq. 1,
1.

Substitute that into eq. 2 and solve for A,
2.

Use eq.1,

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