Answer:
Jacob's age = 4 years
Mother's age = 39 years
Step-by-step 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
