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.​

Kennedy · Answer

☯  L  e  t     t  h  e     m  o  n  t  h  l  y     i  n  c  o  m  e     o  f     o  n  e     p  e  r  s  o  n     b  e      4    x      a  n  d     t  h  a  t     o  f     t  h  e     o  t  h  e  r     b  e      5    x   .   ☯  L  e  t     t  h  e     m  o  n  t  h  l  y     e  x  p  e  n  s  e  s     o  f     o  n  e     p  e  r  s  o  n     b  e      7    y      a  n  d     t  h  a  t     o  f     o  t  h  e  r     b  e      9    y   .    { }     : : : : : : : :━━━━━━━━━━━━━━━━━━━    { }    { }     underline{ bigstar : boldsymbol{According  ;to  ;the : given  ;Question ; :}}    { }      sf{9x :- :7y := :50 : : : : : :{ red{[equation :1]}}}         sf{5x :- :9y := :50 : : : : : :{ red{[equation :2]}}}     { }    O  n     s  o  l  v  i  n  g     b  o  t  h     e  q  u  a  t  i  o  n  s  ,     w  e     g  e  t     :     { textsf{ textbf{y := :50}}}    { textsf{ textbf{x := :100}}}     { }    T  h  e  r  e  f  o  r  e  ,    { }    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 }}}}}}.    { }     : : : : : : : :━━━━━━━━━━━━━━━━━━━

Isabelle · Answer

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

Peyton

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2 thoughts on “Monthly incomes of two persons are in the ratio 4 : 5 and their monthly expenses are in<br /><br />the ratio 7 : 9. If each saves”

400, 500

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

4x=400÷4=100

so answer is 400&500

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Monthly incomes of two persons are in the ratio 4 : 5 and their monthly expenses are inthe ratio 7 : 9. If each saves