. Let the two numbers be 4x and 5x (where x is the common ratio!)
. (And according to the given information, when 5 is added to each number, the new ratio becomes 13:06! which can be written as :
✨(4x + 5) / (5x + 5) = 13/06✨ (Now we just solve for x!)
6(4x + 5) = 13(5x + 5)
24x + 30 = 65x + 65
30 - 65 = 65x - 24x
-35 = 41x
x = -35 / 41
(You can just leave it at the fraction, or use decimal! I will use decimal for now But if you want to convert decimal to fraction, you can use this website and I find it really helpful! ^_^ https://www.calculatorsoup.com/calculators/math/decimal-to-fraction-calculator.php)
x = -0.8537
(Now that we have the value of x, we can find the two numbers!! Finally! )
First number = 4x = 4 x (-0.8537) = -3.4148
Second number = 5x = 5 x (-0.8537) = -4.2685
Therefore, the two numbers are -3.4148 and -4.2685!
Answers & Comments
. Let the two numbers be 4x and 5x (where x is the common ratio!)
. (And according to the given information, when 5 is added to each number, the new ratio becomes 13:06! which can be written as :
✨(4x + 5) / (5x + 5) = 13/06✨
(Now we just solve for x!)
6(4x + 5) = 13(5x + 5)
24x + 30 = 65x + 65
30 - 65 = 65x - 24x
-35 = 41x
x = -35 / 41
(You can just leave it at the fraction, or use decimal! I will use decimal for now But if you want to convert decimal to fraction, you can use this website and I find it really helpful! ^_^ https://www.calculatorsoup.com/calculators/math/decimal-to-fraction-calculator.php)
x = -0.8537
(Now that we have the value of x, we can find the two numbers!! Finally! )
First number = 4x = 4 x (-0.8537) = -3.4148
Second number = 5x = 5 x (-0.8537) = -4.2685
Therefore, the two numbers are -3.4148 and -4.2685!