Question

The ratio of x to y is 1/2 . If the ratio of x + 2 to y + 1 is 2/3 , then what is the value of x?​

Answer 1

Answer:

x =4

Step-by-step explanation:

x/y = 1/2

(x + 2) / (y + 1) = 2/3

Cross multiply the first equation

2x = y

Put that value for y into the second equation.

(x + 2) / (2x + 1) = 2/3              Cross multiply

3(x + 2) = 2(2x + 1)                   Remove the brackets.

3x + 6 = 4x + 2                        Subtract 3x from both sides

6 = 4x - 3x + 2

6 = x + 2                                  Subtract 2 from both sides

6-2 = x

x = 4