Answer:
Let's call the first number x and the second number y.
From the problem, we know that:
- x + y = 425 (the sum of the two numbers is 425)
- 20% of x = 30% of y (20% of the first number is equal to 30% of the second number)
To solve for x and y, we can start by expressing one variable in terms of the other, using one of the equations.
Rearranging the first equation to solve for x, we get:
x = 425 - y
Now we can substitute this expression for x into the second equation, and solve for y:
0.2x = 0.3y (substituting x = 425 - y)
0.2(425 - y) = 0.3y (distributing the 0.2)
85 - 0.2y = 0.3y (combining like terms)
85 = 0.5y (adding 0.2y to both sides)
y = 170 (dividing both sides by 0.5)
So the second number is 170. To find the first number, we can substitute this value back into the first equation:
x + y = 425 (substituting y = 170)
x + 170 = 425
x = 255
Therefore, the two numbers are 255 and 170.