Ella is 9 years older than Jasmine, Katherine is 4 times the age of Ella and the sum of all their ages is 72. Work out the ratio of Jasmine's age to Ella's age to Katherine's age, in its simplest form.

Jasmine's age + 9 = Ella's age: therefore, J + 9 = E4 x Ella's age = Katherine's age: therefore, 4E = KThe sum of Jasmine's, Ella's and Katherine's ages = 72: therefore, J + E + K = 72take J + E + K = 72 and replace E with (J + 9) and K with 4Etherefore, J + (J + 9) + 4E = 72 then replace 4E with 4(J + 9), as E = J + 9therefore, J + (J + 9) + 4(J + 9) = 72therefore, 6J + 18 = 72therefore, 6J = 54therefore, J = 9 (put J = 9 back into the equations to find E and K)thus, E = 18 and K = 72therefore the ration of their ages = 9:18:72simplify by dividing by 9 gives the ratio of 1:2:8ans = 1:2:8