The ratio of two numbers is 7:4. If 8 is added to the larger number and 4 is subtracted from the smaller number, the ratio of the numbers is 5:2. Find the two original numbers.

Thank you thank you thank you~ ^^

Question

The ratio of two numbers is 7:4. If 8 is added to the larger number and 4 is subtracted from the smaller number, the ratio of the numbers is 5:2. Find the two original numbers. 

Thank you thank you thank you~ ^^

directrix · Answer

ratio of two numbers is 7:4.

Let one number be 7x and the other 4x.

directrix · Answer

If 8 is added to the larger number and 4 is subtracted from the smaller number, the ratio of the numbers is 5:2.

(7x + 8) / (4x - 4) = 5/2

5(4x - 4) = 2(7x + 8)

Solve for x and post what you get.

anonymous · Answer

I got x=6.

directrix · Answer

The two original numbers are 7x and the other 4x.

So, one of them is 7 times 6 and the other is 4 times 6. 

So, what are the original numbers?

anonymous · Answer

42:24.....?

directrix · Answer

Yes, those are correct. The two numbers are 42 and 24.

anonymous · Answer

Yay, thank you ^^

directrix · Answer

You're welcome.