Final answer:
To find x + y, we solve the given equations x:y = 2:5 and y - x = 33. By substituting the value of x in terms of y from the first equation into the second equation, we can solve for y and then find the values of x and y. The final value of x + y is 77.
Step-by-step explanation:
To find the value of x + y, we need to solve the given equations.
From the first equation x:y = 2:5, we can write it as x = 2y/5.
Substituting this value of x in the second equation (y - x = 33), we get y - (2y/5) = 33.
Simplifying the equation, we get (5y - 2y)/5 = 33.
Combining like terms, we have 3y/5 = 33, which can be further simplified to 3y = 165.
Finally, solving for y, we find y = 55.
Plugging in the value of y into the equation x = 2y/5, we get x = 2(55)/5 = 22.
Thus, x + y = 22 + 55 = 77.
Therefore, the value of x + y is 77.