Answer:
Step-by-step explanation:
Ratio = 7 : 5
Numbers are 7x , 5x
[tex]\dfrac{7x-2}{5x-2}=\dfrac{3}{2}\\\\\\[/tex]
Cross multiply,
2*(7x - 2) = 3*(5x -2)
2*7x - 2*2 = 3*5x - 3*2
14x - 4 = 15x - 6
14x - 4 + 6 = 15x {Add 6 to both sides}
14x + 2 = 15x
2 = 15x - 14x {Subtract '4x' from both sides}
x = 2
7x = 7*2 = 14
5x = 5*2 = 10
Numbers are 14 , 10
