If a^3 = 1 + 7, 3^3 = 1 + 7 + b, 4^3 = 1 + 7 + c, then the value of a + b + c is

CTET 2 Math and Science Nov 2012 Paper

Question : 31 of 120

Marks: +1, -0

a^3 = 1 + 7

3^3 = 1 + 7 + b

4^3 = 1 + 7 + c

, then the value of

a + b + c

Solution:

{a}^{3}=1+7

a^3=8

∴a=√^3{8}=2

3^{3}=1+7+{b}

⇒27-1-7=b

∴b=19

4^{3}=1+7+c

⇒64-1-7=c

∴c=56

The value of

a+b+c

=2+19+56

=17

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