Question

product of two rational number is 15 if one of them is minus 2 upon 3 find other with solution​

Answer 1

answer:-

product of 2 rational number= 15

1 st number= -2/3

2 nd number = a

Answer 2

${\mathbf {\blue{S}{\underline{\underline{olution:-}}}}}$

$\mathfrak{\underline{AnswEr:-}}$

• The other required number = -45/2

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\mathfrak{\underline{Given:-}}$

• Product of two rational number is 15. If one of the number is -2/3.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\mathfrak{\underline{Need\:To\: Find:-}}$

• The other required number = ?

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

${\mathbf {\blue{E}{\underline{\underline{xplanation:-}}}}}$

Let the other required number be y.

$\:\:\:\:\dag\bf{\underline{\underline \green{Now,\:A.T.Q:-}}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\sf\underline{\purple{\:\:\: As\:we\: know\:that:-\:\:\:}}$

$\bigstar{\underline{\boxed{\sf\purple{One\: number \times Other \: number = Product\:of\:two\: numbers}}}}$

$\:\:\:\:\dag\bf{\underline \blue{Putting\:the\:values:-}}$

$\longrightarrow \sf {\dfrac{-2}{3} \times y = 15}$

$\longrightarrow \sf {\dfrac{-2}{3} = 15}$

$\longrightarrow \sf {-2y = 15 \times 3 }$

$\longrightarrow \sf {-2y = 45 }$

$\longrightarrow{\gray{ \underbrace{\boxed{\underline{\underline{\pink{ \tt y = \dfrac{-45}{2} }}}}}}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\:\:\:\:\dag\bf{\underline{\underline \blue{Hence:-}}}$

• The other required number is $\sf{\dfrac{-45}{2}}$

$\rule{350}{2}$