Question

the ratio of two number is 4:5. if 17 is subtracted from each of the number, then the ratio become 3:4 find the second part​

Answer 1

$\dfrac{x}{y}=\dfrac{4}{5}\\\\\dfrac{x-17}{y-17}=\dfrac{3}{4}\\\\5x=4y\\4(x-17)=3(y-17)\\\\5x=4y\\4x-68=3y-51\\\\5x-4y=0\\4x-3y=17\\\\-15x+12y=0\\16x-12y=68\\\\x=68\\\\5\cdot68=4y\\4y=340\\y=85$

68 and 85