Question

Auntie Anne raked leaves for
more than 10 minutes but less
than 40 minutes. The number
of minutes is a multiple of 5.
The digits add up to 7. For
how long did Anne rake?

Answer 1

25 minutes. 25 is less then 40 but more then 10 it is also a multiple of 5. And lastly the digits 2 + 5= 7

Answer 2

The time taken by auntie Annie to rake is 25 minutes.

What is inequality?

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions is called inequality.

Let the time taken by auntie Anne to rake be ab minutes.

Now, according to the given question.

Auntie Anne situation is represented by an inequality

10 < ab <40

Since, it is given that sum of the digits of time taken by Anne to rake is 7.

⇒ a + b = 7

Also, ab is a multiple of 5.

Now,

When, a = 4 and b = 3 (or vice-versa)

4 + 3 = 7 but 43 is not a multiple of five.

When, a = 6 and b = 1 ( or vice versa)

6 + 1 = 7, but 61 is not a multiple of five.

When, a = 2 and b = 5 (or vice versa)

2 + 5 = 7 and 25 is multiple of 5.But 52 is not a multiple of 5.

Also, 25 is less than 40 and greater than 10.

Therefore, the time taken by auntie Annie to rake is 25 minutes.

Find out more information about inequality here:

https://brainly.com/question/20383699

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