Algebra and Applications Test 1

Question : 29 of 40

Marks: +1, -0

a^3 b =abc =180,a ,b ,c

are positive integers, then the value of c is:

Solution:

a^3 b = abc = 180

a^3b=180⇒b=180/a^3

abc = 180 ⇒ b =180/{ ac}

∴180/a^3=180/{ac}

⇒a=√c

Substituting this value in equation (i),

abc = 180

√c.b.c= 180

b.c^{3/2 }= 180

by hit and trial value of c = 1 and value of b = 180

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