【答案】
"學(xué)數(shù)學(xué)"是"數(shù)數(shù)"的倍數(shù),因而是"數(shù)"與1l的倍數(shù).學(xué)數(shù)學(xué)=學(xué)×101+數(shù)×10是"數(shù)"的倍數(shù),而101是質(zhì)數(shù),所以"學(xué)"一定是"數(shù)"的倍數(shù).
又"學(xué)數(shù)學(xué)"是11的倍數(shù),因而:"學(xué)+學(xué)-數(shù)"為11的倍數(shù).
因?yàn)?quot;學(xué)"是"數(shù)"的倍數(shù),從上式推出"數(shù)"是11的約數(shù),所以"數(shù)"=1,"學(xué)"=(11+1)÷2=6.
"數(shù)學(xué)"所代表的兩位數(shù)是16.