25 Oktober 2022
A certain 2-digit number x has the property that if we put a 2 before it and a 9 after ward we get a 4 digit number equal to 59 times x. What is x?
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Penyelesaian:

Misalkan: x = ab,

Model matematika yang terjadi, 59x = 2ab9

Berdasarkan penulisan bilangan desimal, diperoleh:

x = 10a + b dan 59x = 2ab9 = 2(1000) + a(100) + b(10) + 9

59x = 2000 + 100 . a + 10 . b + 9

        = 2000 + 10(10a + b) + 9

59x  = 2009 + 10x

49x = 2009

x = 41

Jadi, x = 41

 
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