已知a.b是两个自然数.a*b=2a+3b.若1a*2a*3a*.9a=15162求a的值
问题描述:
已知a.b是两个自然数.a*b=2a+3b.若1a*2a*3a*.9a=15162求a的值
答
∵a*b=2a+3b
∴1a*2a*3a*.9a
=8a*3a*.9a
=25a*4a*5a*6a*7a*8a*9a
=62a*5a*6a*7a*8a*9a
=139a*6a*7a*8a*9a
=296a*7a*8a*9a
=613a*8a*9a
=1250a*9a
=2527a=15162
∴a=6