# the sum of two odd numbers is 28.the larger number is sixteen more than one-third the smaller number.find the numbers

2
by Nayumikarino

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by Nayumikarino

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X + y = 28

16 + = y

Multiply 3 to all sides

48 + x = 3y

Transpose

48 + x - 3y = 0

Transpose more

x - 3y = -48

Subtract the 2nd equation from the first equation, like this:

x + y = 28

__- x - 3y = -48__

0 + 4y = 76

4y = 76

Divide 4 to both sides

y = 19

Substitute value of y in the first equation

x + y = 28

x + 19 = 28

Transpose

x = 28 - 19

x= 9

y= 19

Therefore, the numbers are 9 and 19.

16 + = y

Multiply 3 to all sides

48 + x = 3y

Transpose

48 + x - 3y = 0

Transpose more

x - 3y = -48

Subtract the 2nd equation from the first equation, like this:

x + y = 28

4y = 76

Divide 4 to both sides

y = 19

Substitute value of y in the first equation

x + y = 28

x + 19 = 28

Transpose

x = 28 - 19

x= 9

y= 19

Therefore, the numbers are 9 and 19.