Official Solution: Maria's average (arithmetic mean) monthly phone bill for the months of April, May, and June was $90. During which of these three months was her phone bill the lowest? (1) Of the bills for April, May, and June, the highest bill was received in May.
This indicates May is greater than April and June, but doesn't determine whether April or June was the lowest. Not sufficient.
(2) The total of her phone bills for April and May was $170.
This implies June's bill was $270 − $170 = $100. Without individual amounts for April and May, we can't determine which month was lowest. Not sufficient.
(1)+(2) Since June = $100, and May, as the highest month, then May > $100. Therefore, April's bill must be less than $70 (since April + May = $170 and May > $100). Clearly, April had the lowest bill. Sufficient.
(1)+(2) Since June's bill is $100, and May is the highest month, May's bill must be greater than $100. Therefore, April's bill must be less than $70 (since April + May = $170 and May > $100). Clearly, April had the lowest bill. Sufficient.
Answer: C