Question

Learning Task 2: If a represents Arkin's present age, how would you express
each of the following in terms of variable a?
1. Arkin's age 5 years ago
2. Thrice Arkin's age
3. His age after 4 years
4. Two-thirds his present age
5.twice his age after 3 years.
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Answer 1

FINAL ANSWER:-

1. Arkin's age 5 years ago ⇒ a-5

2. Thrice Arkin's age ⇒ 3a

3. His age after 4 years ⇒ a+4

4. Two-thirds his present age ⇒ $\frac{2a}{3}$

5. Twice his age after 3 years ⇒ a+3

hope this helps...

Answer 2

Given:

"a" represents Arkin's present age

To Find:

express each of the following in terms of variable a:

1. Arkin's age 5 years ago

2. Thrice Arkin's age

3. His age after 4 years

4. Two-thirds his present age

5. twice his age after 3 years

Solution:

Let Arkin's present age = a

1. In order to find Arkin's age 5 years ago, we would need to subtract 5 from a

⇒ Arkin's age 5 years ago = a - 5

2. In order to find Thrice of Arkin's age, we would need to multiply a by 3.

⇒ Thrice Arkin's age = 3a

3. In order to find Arkin's age after 4 years, we would need to add 4 to a.

⇒ Arkin's age after 4 years = a + 4

4. In order to find Two-thirds his present age, we would need to multiply a by $\frac{2}{3}$.

⇒ Two-thirds his present age = $\frac{2}{3}$a

5. In order to find Arkin's age twice after 3 years, we would need to add 3 to a and then multiply this by 2

⇒ twice his age after 3 years = 2(a + 3)

Hence, we get the following answers:

1. Arkin's age 5 years ago = a - 5

2. Thrice Arkin's age = 3a

3. His age after 4 years = a + 4

4. Two-thirds his present age = $\frac{2}{3}$a

5. twice his age after 3 years = 2(a + 3)