Ashley and Betty are new friends.  Ashley: Hi Betty, when is your birthday?  Betty: Let my birthday month number times $$31$$ and day number times $$12$$. Then the addition of the two products will be $$376$$.  Can you help Ashley to find out Betty\textquotesingle s date of birth?  [Shade your answer in the form of "ddmm". For example: If your answer is $$27^{\text{th}}$$ June, shade the answer as "$$2706$$".] 
Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Multivariate Linear Equation Word Problems