Question

It
10. A man is six times as old as his son. Twenty years
later, the man will be twice as old as his son.
Find the age of the man when his son was born.​

Answer 1

Answer:

Here is your answer....

Answer 2

${ \underline{ \underline{ \red{ \bf{ \large{Answer :-}}}}}}$

• Age of the man when his son was born = 25 year's.

${ \underline{ \underline{ \orange{ \bf{ \large{Solution :-}}}}}}$

$\sf \: Let \: x \: be \: the \: age \: of \: son.$

$\sf \: So, \: age \: of \: father = 6x$

${ \bigstar{ \underline{According \: to \: the \: question, }}}$

$\sf \: 20 \: year's \: later : \\ \\ \implies \sf \: x + 20 = \: age \: of \: son \\ \implies \sf \: 6x + 20 = age \: of \: father$

Father is twice old as his son, hence,

$\longmapsto \sf \: 6x+20=2(x+20) \\ \longmapsto\sf \: 6x+20=2x+40 \\ \longmapsto\sf \: 4x=20 \\ \longmapsto\sf \: x=5$

$\sf \: Age \: of \: father =6x =6 \times 5 = 30$

${ \underline {\sf {\: Age \: of \: the \: man \: when \: his \: son \: was \: born }}}\\ \sf \: = Age \: of \: Man \: 5 \: years \: ago \\ \sf \: =30-5 \\ = \sf \: 25 \: years$

Therefore, age of the man when his son was born is 25 years.