Question 1038191
let a and b represent the 2 number.


the ratio between a and b is 4/3 (first equation).


this means that a/b = 4/3.


the sum of the numbers is 42.


this means that a + b = 42 (second equation).


in the first equation, multiply both sides of the equation by b to get a = 4b/3.


in the second equation, replace a with 4b/3 to get 4b/3 + b = 42


multiply both sides of this equaiton by 3 to get 4b + 3b = 42*3.


combine like terms and simplify to get 7b = 126


divide both sides of this equaiton by 7 to get b = 18.


since a = 4b/3, then a = 4*18/3 = 4*6 = 24.


a = 24 and b = 18.


a + b = 42.


a/b = 24/18 = 4/3.


number look good so solution is confirmed to be good.


solution is that the numbers are 24 and 18.


the ratio between them is 4/3 and their sum is 42.