Question

In 19 years' time, Bill will be twice as old as Ada. Form another equation in ( x ) and ( y ) and show that it simplifies to ( y = 2x - 19 ).

A. ( x + y = 38 )
B. ( x - y = -19 )
C. ( x + y = 19 )
D. ( x - y = 38 )

Answer 1

To solve this problem, we set up an equation using the given information and then simplified it to y = 2x - 19. The correct answer is (A) (x + y = 38).

Step-by-step explanation:

To solve this problem, we let x represent Bill's current age and y represent Ada's current age. According to the problem, in 19 years' time, Bill will be twice as old as Ada. This can be written as the equation x + 19 = 2(y + 19). We can simplify this equation to y = 2x - 19 by distributing the 2 to the terms inside the parentheses and rearranging the equation.

So the correct answer is (A) (x + y = 38).