Question

I went on a holiday to a hill station. It snowed for 15 days. But when it snowed in the morning the afternoon was lovely. And when it snowed in the afternoon the day was preceded by a clear morning. Altogether there were 14 very nice mornings and 17 very nice afternoons. How many days did my holiday last?

Answer 1

Answer:

x = 23

Step-by-step explanation:

Let the holiday lasted for x days. If 14 mornings were nice, then  x - 14 evening had snow.

Similarly  If 17 evenings were nice, then  x - 17 morning had snow. So we have

x - 14 + x - 17 = 15 => x = 23.

Answer 2

Given: I went on a holiday to a hill station. It snowed for 15 days. But when it snowed in the morning the afternoon was lovely. And when it snowed in the afternoon the day was preceded by a clear morning. Altogether there were 14 very nice mornings and 17 very nice afternoons.

To find: The number of days the holiday lasted.

Solution:

Let the number of days that the holiday lasted for be x. According to the question, 14 mornings were nice. This means that (x-14) evenings had snow.

It is also given in the question that 17 evenings were nice. This means that (x-17) mornings had snow. But it snowed for a total of 15 days. Thus, the total number of days stayed in the hill station is calculated as follows.

$x - 14 + x - 17 = 15$

$2x = 46$

$x = 23$

Therefore, the number of days the holiday lasted is 23.