The mother's age is 8 times her son's age. After 6 years, the age of the mother will be 9/2 times her son's age. The present ages of the son and the mother are, respectively

son = 6 mother = 48

Step-by-step explanation:

Mother = m

son = s

m = 8s

m+6 = 9/2 * (s+6)

so

2(8s + 6) = 9(s +6)

16s + 12 = 9s + 54

16s - 9s = 54 - 12

7s = 42

s = 42/7 = 6 years old

so the mother is 8s = 8*6= 48 years old

Son’s present age is 6.

Mother’s present age is 48.

Step-by-step explanation:

Let the mother age be x.

Let the son’s age be y.

x = 8y

x + 6 = 9/2 × (y + 6)

Put x as 8y in the second equation and solve for y.

8y + 6 = 9/2(y + 6)

8y + 6 = 9/2y + 27

8y - 9/2y = 27 - 6

7/2y = 21

y = 21 × 2/7

y = 42/7

y = 6

Put y as 6 in the first equation and solve for x.

x = 8(6)

x = 48

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05