在一道減法中,被減數(shù)是96,減數(shù)與差的比是7:9,減數(shù)是________,差是________.
42 54
分析:根據(jù)被減數(shù)、減數(shù)與差的關系,知道被減數(shù)=差+減數(shù),所以減數(shù)+差=96,再根據(jù)“減數(shù)與差的比是7:9,”把減數(shù)看作7份,差是9份,減數(shù)+差是7+9=16份,由此求出一份,進而求出減數(shù)與差.
解答:一份是:96÷(7+9),
=96÷16,
=6,
減數(shù)是:6×7=42,
差是:6×9=54,
故答案為:42,54.
點評:關鍵是根據(jù)被減數(shù)、減數(shù)與差的關系得出減數(shù)與差的和,再利用按比例分配的方法解決問題.