Question

A number is divided into two parts such that one part is 7 the more is that the other. if the two parts are in the ratio 3:2, find the two parts.​

Answer 1

Explanation:

QUESTION

A number is divided into two parts such that one part is 7 the more is that the other. if the two parts are in the ratio 3:2, find the two parts.

$\bf \: solution \:$

$\bf \: find \: it$

find the two parts.

$\bf \: let \: the \: first \: part \: be \: 3x$

then the second part will be 2x

it is clear that 2x will b small no.

it is also given that number is divided into two parts such that one part is 7 more than the other so.

$\bf \: according \: \: to \: the \: question \:$

$</p><p> \bf3x = 2x + 7 \\ </p><p> \bf3x-2x=7\\ </p><p> \bf \: x=7\\ </p><p>$

now first no. is 3x

$\bf \: putting \: the \: value \: of \: x \:$

$\bf \: 3(7) \\ \red{ \bf 21}$

and second no. is 2x

$\bf \: putting \: the \: value \: of \: x \:$

$\bf \: 2(7) \\ \red{ \bf \: 14}$

$\bf \: now \: the \: no. \: is \: 14+2 = \red {35}$