Question

romens fathers age is 4 times than romen.after five years his fathers age will be 3times of age pf roman .what is their present age
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Answer 1

GIVEN :-

• Roman's Father age is 4 times then Romans age.
• After 5 years his father age will be 3 times of Roman.

TO FIND :-

• Their present ages.

SOLUTION :-

★ Let the present age of Roman be x.

★ Father's age be 4x.

☯ $\\ \underline{\boldsymbol{According\: to \:the\: Question\:now :}}$

$: \implies \displaystyle \sf4x + 5 = 3(x + 5)$

$: \implies \displaystyle \sf 4x + 5 = 3x + 15$

$: \implies \displaystyle \sf \: 4x - 3x = 15 - 5$

$: \implies \underline{ \boxed{\displaystyle \sf \: x = 10}}$

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$\\ \\ \dashrightarrow\displaystyle \sf \: Present \: age \: of \: Roman \: = x$

$\dashrightarrow\underline{ \boxed{\displaystyle \sf \:Present \: age \: of \: Roman \: = 10 \: years.}}$

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$\\ \\ \dashrightarrow\displaystyle \sf \: Present \: age \: of \: Father = 4x$

$\dashrightarrow\displaystyle \sf \: Present \: age \: of \: Father = 4 \times 10$

$\dashrightarrow \underline{ \boxed{\displaystyle \sf \: Present \: age \: of \: Father = 40 \: years}}$

$\therefore\underline{ \displaystyle \sf \:present \ age \: of \: Roman \: is \ 10 \ years \ and \ Father \ is \ 40 \ years .}$

Answer 2

ANSWER✔

$\large\underline\bold{GIVEN,}$

$\therefore let\: the\:present\:age\:of\:roman\:be\: x\:years$

$\dashrightarrow present\:age\:of\:his\:father\:is\:4 \times\:x \\ \therefore\: fathers\:age\:is\:4x$

$\therefore \:after\:five\:years, \\ there\:age\:will\:be\\ \therefore \:father\:age\:will\:be\:4x+5 \\ \therefore son's\:age\:will\:be\: x+5$

$\dashrightarrow it's\:said\:that\:after\:five\:years\:the\\ age\:of\:father\:will\:be\:3\:times\: the\:age\:of\:his\:son. \\ \therefore\: \large{\bold{\underline{equation\:formed,}}}\\ \dashrightarrow \: 4x+5=3\times \bigg( x+5 \bigg)$

$\large\underline\bold{TO\:FIND,}$

$\dashrightarrow There\:both's\: present\:age(father\:and\:son)$

$\large\underline\bold{SOLUTION,}$

$\therefore taking\:the\:equation\:formed.we\:get,$

$\implies 4x+5= 3 \times \bigg( x+5\bigg)$

$\implies 4x+5=3x+15$

$\implies 4x-3x= 15-5$

$\implies x= 10$

$\large{\boxed{\bf{ \star\:\: present\:age\:of\:romen\:= 10years.\:\: \star}}}$

HIS FATHER'S PRESENT AGE,

$\dashrightarrow father\:present\:age= 4 \times x$

$\dashrightarrow x=10$

$\implies romens\: father\:present\:age= 4 \times 10$

$\implies romens\: father\:present\:age= 40$

$\large{\boxed{\bf{ \star\:\: present\:age\:of\:romen's\:father= 40\:years.\:\: \star}}}$

$\large\underline\bold{PRESENT\:AGE\:OF\:ROMEN\:IS\:10\:years.}$

$\large\underline\bold{AND\:PRESENT\:AGE\:OF\:ROMEN'S\:FATHER\:IS\:40\:years.}$

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