SOLUTION: Please help me to solve this problem - The sum of two numbers is 2490. If 6.5% of one number is equal to 8.5% of the other, find the numbers.

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Question 1124727: Please help me to solve this problem - The sum of two numbers is 2490. If 6.5% of one number is equal to 8.5% of the other, find the numbers.
Found 3 solutions by MathLover1, josmiceli, MathTherapy:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

let's two numbers be and
if the sum of two numbers is , we have
....eq.1
if %= of one number is equal to %=} of the other, we have


............eq.2

substitute in eq.1
....eq.1



...round it

............eq.2
...round it

check:


->True



->True





Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let the numbers be a and b
(1)
(2)
—————————————
(2)
(2)
Plug this into (1)
(1)
(1)
(1)
(1)
And
(1)
(1)
—————————————-
Check:
(2)
(2)
OK

Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

Please help me to solve this problem - The sum of two numbers is 2490. If 6.5% of one number is equal to 8.5% of the other, find the numbers. 
Let smaller number be S

Then larger number = 2,490 - S

We then get: .065(2,490 - S) = .085S

161.85 - .065S = .085S

161.85 = .085S + .065S

161.85 = .15S

S, or smaller number = 

Larger number:  

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