Question

The ratio of x to y is 1:4. If the value of x were increased by 1 without changing the value of y,
the ratio of x to y would become 1:3. If z = x + 2y, what is the value of z?​

Answer 1

Step-by-step explanation:

x : y =1 : 4

=>x/y=1/4

=> x=y/4

again,

(x+1) : y = 1 : 3

=> x+1/y=1/3

=> x+1=y/3

=> x= y/3-1=(y-3)/3

y/4=(y-3)/3

=> 4(y-3)=3y

=> 4y-12=3y

=> 4y-3y=12

=> y=12

x=y/4=12/4=3

so,

z=x+2y

=3+2×12

=3+24

=27

value if z is 27