Two numbers 13

Two numbers are in the ratio 5:8. When 2 is added to each, the ratio of the resulting numbers is 2:3. Find the numbers.

Correct answer:

a =  10
b =  16

Step-by-step explanation:

a:b=5:8 (a+2):(b+2) = 2:3  8a=5b 3(a+2)=2(b+2)  8 a=5 b 3 (a+2)=2 (b+2)  8a5b=0 3a2b=2  Row283 Row1Row2 8a5b=0 0.13b=2  b=0.1252=16 a=80+5b=80+5 16=10  a=10 b=16



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