SOLUTION: The sum of two numbers is 145. When the smaller number is decreased by two and the larger number is increased by 1, their ratio will be 2:7. What are the numbers.
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Question 811694: The sum of two numbers is 145. When the smaller number is decreased by two and the larger number is increased by 1, their ratio will be 2:7. What are the numbers. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Two number a & b
Write an equation for each statement
:
The sum of two numbers is 145.
a + b = 145, (a is the larger number)
a = (145-b)
:
When the smaller number is decreased by two and the larger number is increased by 1,
their ratio will be 2:7. =
Cross multiply
7(b-2) = 2(a+1)
7b - 14 = 2a + 2
7b = 2a + 2 + 14
7b = 2a + 16
Replace a with (145-b)
7b = 2(145-b) + 16
7b = 290 - 2b + 16
7b + 2b = 306
9b = 306
b = 306/9
b = 34
then
a = 145 - 34
a = 111
:
:
See if that works out = reduces to
