Monthly incomes of two persons are in the ratio 4 : 5 and their monthly expenses are in

the ratio 7 : 9. If each saves

Question

Monthly incomes of two persons are in the ratio 4 : 5 and their monthly expenses are in

the ratio 7 : 9. If each saves ` 50 per month find their monthly incomes.​

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Peyton 2 months 2021-07-30T04:25:41+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-07-30T04:27:28+00:00

    Let the monthly income of one person be 4x and that of the other be 5x.

    Let the monthly expenses of one person be 7y and that of other be 9y.

    { }

    \:\:\:\:\:\:\:\:━━━━━━━━━━━━━━━━━━━

    { }

    { }

    \underline{\bigstar\:\boldsymbol{According \;to \;the\: given \;Question\; :}}

    { }

    • \sf{9x\:-\:7y\:=\:50\:\:\:\:\:\:{\red{[equation\:1]}}}
    • \sf{5x\:-\:9y\:=\:50\:\:\:\:\:\:{\red{[equation\:2]}}}

    { }

    On solving both equations, we get :

    • {\textsf{\textbf{y\:=\:50}}}
    • {\textsf{\textbf{x\:=\:100}}}

    { }

    Therefore,

    { }

    • Monthly Income of One Person :

    { }

    \:\:\:\:\:\:\::\:\Longrightarrow\sf\:{4\:\times\:100}

    { }

    \:\:\:\:\:\:\::\:\Longrightarrow\sf\:{400 }

    { }

    • Monthly Income of the Other Person :

    { }

    \:\:\:\:\:\:\::\:\Longrightarrow\sf\:{5\:\times\:100}

    { }

    \:\:\:\:\:\:\::\:\Longrightarrow\sf\:{500}

    { }

    • So, the sum of their monthly incomes :

    { }

    \:\:\:\:\:\:\::\:\Longrightarrow\sf\:{400\:+\:500}

    { }

    \:\:\:\:\:\:\::\:\Longrightarrow\:{\underline{\boxed{\frak{\pink{900}}}}}\:\bigstar

    { }

    { }

    \:\therefore\:{\underline{\sf{Hence,\:the \:sum \:of \:their \:monthly \:incomes\:is \:{\textsf{\textbf{Rs.\:900 }}}}}}.

    { }

    \:\:\:\:\:\:\:\:━━━━━━━━━━━━━━━━━━━

    0
    2021-07-30T04:27:39+00:00

    Answer:

    400, 500

    Step-by-step explanation:

    Put in equation

    4x+7y=50 & 5x+9y=50

    then 1st equation multiple 5 and 2nd is 4

    y=50 then put in 1st equation

    4x=400÷4=100

    income ratio is 4 ×100 =400 and 100 ×5=500

    so answer is 400&500

    Hope it helps you

    Be happy

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