Concept:When two ratios are equal, take a common constant to express both variables.Explanation:Let 11x​=15y​=k.Then x=11k and y=15k.So, y+15x+11​=15k+1511k+11​.Factor out the common term:15(k+1)11(k+1)​=1511​.Therefore, (x+11):(y+15)=11:15.Answer:11:15