Question

Currently Jacobs mother is three more than nine times—
PLEASE HELP!

Answer 1

Jacob's age = 4 years

Mother's age = 39 years

Explanation:

Current year:

Mother's age = m

Jacob's age = j

m = 9j + 3 ------(I) {condition 1}

In 11 year,

Mother's age = m + 11

Jacob's age = j + 11

From condition 2,

m + 11 = 3(j +11) + 5

m + 11 = 3j + 3*11 + 5

m +11 = 3j + 33 + 5

m + 11 = 3j + 38

Subtract 11 from both sides,

m = 3j + 38 -11

m = 3j + 27 --------------(II)

Linear equations:

m = 9j + 3 ----------(I)

m = 3j + 27 --------(II)

Substitute m = 9j + 3 in equation (II)

9j + 3 = 3j + 27

9j = 3j + 27 - 3

9j = 3j + 24

Subtract 3j from both sides,

9j - 3j = 24

6j = 24

Divide both sides by 6,

j = 24/6

j = 4

Jacob's age = 4 years

Mother's age = 9*4 +3 = 36 + 3 = 39 years