Question

write linear equation in two variable of this statement: "Twice the age of father is equal to seven times the age of his son".Draw the graph and find the age of father when son's age is 10years.


PLEASE EXPLAIN PROPERLY IN DETAIL
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Answer 1

Answer:

I'm not that perfect but l think it's "2x=7X10y

Answer 2

$Let \: the \: age \: of \: the \: son = x \: years$

$Let \: the \: age \: of \: the \: Father = y \: years$

/* According to the problem given */

$Twice \:the \: age \: of \: father \:is \: equal \\to \: seven \: times \: the \: age \: of \: his \:son .$

$\implies 2y = 7x \: ---(1)$

$If \: x = 10 \: years$

/* Substitute x = 10 in equation (1), we get */

$2y = 7 \times 10$

$\implies y = \frac{70}{2}$

$\implies y = 35 \:years$

$Graph \: shows \: the \: equation \: 2y = 7x$

$( x ,y ) = ( 10, 35 )$

$If \: age \: of \: son \: is \: 10 \: years \:then \\Father's \:age \: will \: be \: 35 \: years.$

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