Respuesta :
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.