Question

2) Present age of a father is 1 less than three
times the age of his son. After 12 years
age of father will be double the age of his
son. Present age of the son is
a) 23 b) 26
c) 13
d) 38​

Answer 1

Answer:

let age of father= y

let the of son = x

given

3x-1=y............eq1

y+12= 2x...........eq2

subtract eq2 with eq1

2x-12= y

3x- 1= y

we get,

-x-11= 0 = x=11

then y= 3 x 11-1 = 32

Answer 2

$let \: the \: age \: of \:the \: son = x \: years \\ father's \: age = 3x - 1$

$age \: of \: son \: after \: 12 \: years = 12 \: years \\ x + 12$

$father's \: age \: after \: 12 \: years \\ = 3x - 1 + 12 \\ 2(x + 12) = 3x - 1 + 12$

$2x + 24 = 3x + 11 \\ - x = - 13$

$therefore \: x = 13$