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2 years ago

Cary is 4 years older than Dan. In 7 years the sum of their ages will be 76

Mathematics

1 answer:

bekas [8.4K]2 years ago

3 0

Ages of Dan and Cary are 29 and 33 respectively.

Step-by-step explanation:

Step 1:

Form equations out of the given details. Let the age of Dan be x, then age of Cary is x + 4.

In 7 years, sum of their ages = 76

⇒ (x + 7) + (x + 4 + 7) = 76

⇒ 2x + 18 = 76

⇒ 2x = 58

⇒ x = 29

Step 2:

Calculate age of Cary.

⇒ x + 4 = 33

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She made the mistake of grouping unlike terms and factorizing.

Given that

Helene is finding the sum (9 + 10i) + (–8 + 11i).

She rewrites the sum as (–8 + 11)i + (9 + 10)i.

We have to determine

Which statement explains the property of addition that she made an error in using?

According to the question

The mistake she did is in the second term distributing.

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Similarly (-8+11i) is not equal to (-8+11)i.

The correct method she should have done is given below;

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