The sum of an uncirculated 'Mint-65 '1950 jefferson nickkle mintedd in Denver is 4/3 the value of a 1945 nickle minted in philadephia in similar condition. Togather the total of two coinsis$35. What is the value of each coin?

You obviously meant " The value of an uncirculated ...."

let the value of the 1945 coin be x
value of the 1950 coin is (4/3)x

x + 4x/3 = 35
multiply each term by 3

3x + 4x = 105

solve for x , and sub back into the definitions.