1.

If a3 = 1 + 7, 33 = 1 + 7 + b and 43 = 1 + 7 + c, where a, b and c are different positive integers, then the value of a + b + c is1. 582. 683. 774. 79

Answer» Correct Answer - Option 3 : 77

Given:

a3 = 1 + 7      ----(i)

33 = 1 + 7 + b      ----(ii)

43 = 1 + 7 + c      ----(iii)

Calculations:

Solving the equation (i)

⇒ a3 = 1 + 7

⇒ a3 = 8

⇒ a = 2

Solving the equation (ii)

⇒ 33 = 1 + 7 + b

⇒ 27 = 8 + b

⇒ b = 19

Solving the equation (iii)

⇒ 43 = 1 + 7 + c

⇒ 64 = 8 + c

⇒ c = 56

Using the values of a, b, and c,

⇒ a + b + c = 2 + 19 + 56

⇒ a + b + c = 77

∴ The value of a + b + c is 77


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