Respuesta :

If you are solving by substituting A=50 and B=75

Answer : The value of 'a' and 'b' is, 50 and 75 respectively.

Step-by-step explanation :

As we are given two equations.

[tex]3a+b=225[/tex]      ...........(1)

[tex]b-a=25[/tex]     ............(2)

or,

[tex]b=25+a[/tex]           ...........(3)

Now put equation 3 in equation 1, we get the value of 'a'.

[tex]3a+b=225[/tex]

[tex]3a+25+a=225[/tex]

[tex]4a+25=225[/tex]

[tex]4a=225-25[/tex]

[tex]4a=200[/tex]

[tex]a=\frac{200}{4}[/tex]

[tex]a=50[/tex]

Now put the value of 'a' in equation 3, we get the value of 'b'.

[tex]b=25+a[/tex]

[tex]b=25+50[/tex]

[tex]b=75[/tex]

Thus, the value of 'a' and 'b' is, 50 and 75 respectively.