Numbers at ratio

The two numbers are in a ratio 3:2. If we each increase by 5 would be at a ratio of 4:3. What is the sum of original numbers?

Correct result:

s =  25

Solution:


2a=3b
3(a+5)=4(b+5)
s = a+b

2•a=3•b
3•(a+5)=4•(b+5)
s = a+b

2a-3b = 0
3a-4b = 5
a+b-s = 0

a = 15
b = 10
s = 25

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