The present age of Joyal’s mother is three times the present age of joyal. After 5 years their ages will add up to 66. Find their present age

The present age of Joyal is 14 years.

The present age of Joyal's mother is 42 years

Step-by-step explanation:

Let J denotes the age of Joyal

Let M denotes the age of Joyal's mother

The present age of Joyal’s mother is three times the present age of joyal.

Mathematically,

M = 3J

After 5 years their ages will add up to 66

Mathematically,

(M + 5) + (3J + 5) = 66

M + J + 10 = 66

M + J = 66 - 10

M + J = 56

But we know that M = 3J

3J + J = 56

4J = 56

J = 56/4

J = 14 years

So the present age of Joyal is 14 years.

M = 3J

M = 3(14)

M = 42 years

So the present age of Joyal's mother is 42 years.

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80