Sagot :
[tex]a+b=28 \\ \\
a=16+ \frac{b}{3} \\ \\
^{3)}16+ \frac{b}{3}+^{3)}b=^{3)}28 \\ \\
\frac{48}{3}+ \frac{b}{3}+ \frac{3b}{3}= \frac{84}{3}|*3 \\ \\
4b+48=84 \\ \\
4b=36 \\ \\
\boxed{b=9} \\ \\
a=28-9 \\ \\
\boxed{a=19} [/tex]
x + y = 28
16 + [tex] \frac{x}{3} [/tex] = 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 + [tex] \frac{x}{3} [/tex] = 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.