Janice is thinking of two numbers. she says that two times the first number plus the second number is 41. in addition, the first number plus three times the second number is 73. find the numbers

Let one of the number be x and the other be y

two times the first number plus the second number is 41
2x + y = 41

the first number plus three times the second number is 73
x + 3y = 73

2x + y = 41 (1)
x + 3y = 73 (2)

From (1):
2x + y = 41
y = 41 - 2x sub into (2)
x + 3(41-2x) = 73
x + 123 - 6x = 73
x -6x = 73 - 123
-5x = -50
x = 10 sub into (1)
2 (10) + y = 41
20 + y = 41
y = 41 - 20
y = 21

Ans: x = 10, y = 21

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