Question

If a + b = 6, b + c = 6 and c + a = 7 then find the value of a.

Answer 1

If a+b=5 and b+c = 6, then we know that the value of c must be one more than a, as b stays the same, but the value is higher.. (b = 5-a, b = 6-c, so 5-a = 6-c, 5-a+c = 6, 5+c = 6+a, c = a+1). So, we know that a + c is 7, and c is one more than a, so a+a+1 = 7. 2a = 6, so a = 3. a is three. (If we check, it all works out. 3+b = 5, so b is 2. 2+c = 6, so c is 4. 3 plus 4 is 7.)

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Glenn MacIntosh, former Retired engineer and 84 Years Old (1960-1992)
Answered May 7, 2018