1) Two numbers are in the ratio 5: 6. If 8 is added to each of the numbers, they will be in the ratio 7: 8. Find the numbers. 2) What should be added to both 9 and 29 to produce the numbers that are in the ratio 3: 4.

3) Two numbers are in the ratio 3: 7. If 1 is added to the smaller number and 7 is added to the larger, they will be in the ratio 1: 3. Find the numbers.

answer: do you still need this?

answer: 414,377,008

step-by-step explanation:

just multiply it

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0

answer: 8

step-by-step explanation: