Let the larger number be x and the smaller number be y.
The sum of two numbers is twice their difference can be written as:
x + y = 2(x - y)
Simplifying this equation, we get:
x + y = 2x - 2y
3y = x
Since we are given that the difference of the numbers is p, we can write the equation as:
x - y = p
Substituting x = 3y into this equation, we get:
3y - y = p
2y = p
y = p/2
Therefore, the larger number (x) is 3 times the smaller number (y):
x = 3y = 3 * (p/2) = 3p/2
The answer is B. 3p/2.
24. The sum of two numbers is twice their
difference. If difference of the numbers is p,
find the larger number.
A. p/2
B. 3p/2
C. 5p12
D. 3p
1 answer
1 answer