Question

The sum of two numbers is 19. The sum of two times the first and three times of second is 45. Find the numbers
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Answer 1

Answer:

Let x and y be the two numbers

According to given condition,

x+y=19......(1)

2x+3y=45.....(2)

Multiply equation (1) by 2

2x+2y=38......(3)

subtract equation (2) and (3)

2x+3y=45.....(2)

- 2x+2y=38.....(3)

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0 +y=7

y=7

put y=7 in equation (1)

x+7=19

x=19-7

x=12

Therefore, the two numbers are 7 and 12