Question

In the equation a + b + c + d + e = fg where fg is the two digit number whose value is 10f + g and letters a, b , c , d , e, f and g each represent different digits. if fg is as small as possible. what is the value of g?

Answer 1

In order to solve this question you must have a good grasp over logical reasoning.

Acc to the question, FG is as small as possible and all the 7 numbers should be different.

By trial and Error method,

1 + 2 + 3 + 4 + 5 = 15 ; 5 is repeated. so we will not consider it.

1 + 2 + 3 + 4 + 6 = 16 ; 6 is repeated. ; thus this is also discarded.

1 + 2 + 3 + 4 + 7 = 16 ; Here all digits are different. Therefore,

None of the numbers repeat in the above case and 16 is the minimum number FG can have. The value of G is 6.

Answer 2

a, b , c , d , e , f and g each represent different digit.
means, a, b , c, d, e, f, g $\in\mathbb{W}$
and a ≠ b ≠ c ≠ d ≠ e ≠ f ≠ g
if we assume a = 0, b = 2 , c = 3 , d = 4, e = 6

then, 0 + 2 + 3 + 4 + 6 = 15
now, compare it with a + b + c + d + e = fg
so, g = 5

hence, answer is 5