A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other n

Question

A positive number is 5 times another number. If 21 is added to both the numbers,
then one of the new numbers becomes twice the other new number. What are the numbers? ​

in progress 0
Autumn 4 days 2021-10-08T23:59:15+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-09T00:00:36+00:00

    { \blue{ \tt{ \underline{ \underline{ \huge{QUESTION }}}}}}

    ▪ A positive number is 5 Times another number. if 21 is added to both the numbers , then one of the new numbers become twice the other new number. what are the numbers?

    { \blue{ \tt{ \huge{ \underline{ \underline{SOLUTION }}}}}}

    Let the two positive numbers be x and y respectively….

    given that..

    ⛦ a number is 5 Times the other number

    { \boxed{ \red{ \sf{x = 5y}}}} - - - { \sf{eqn(1)}}

    { \sf{ \underline{according \: to \: the \: question - }}}

    ▪ If 21 is added to both the numbers

    one of the new number become twice of the new number…..

    { \boxed{ \red{ \sf{(x + 21) = 2(y + 21)}}}}

    { \implies{ \green{ \sf{x + 21 = 2y + 42}}}}

    putting the value of x = 5y from eqn (1)..

    { \implies{ \sf{ \green{5y + 21 = 2y + 42}}}}

    { \implies{ \sf{ \green{5y - 2y = 42 - 21}}}}

    { \implies{ \sf{ \green{3y = 21}}}}

    { \implies{ \boxed{ \boxed{ \red{ \sf{ \: \: \: y = 7 \: \: }}}}}}

    { \boxed{ \boxed{ \sf{ \red{x = 5y = 5 \times 7 = 35}}}}}

    therefore,

    the numbers are 35 and 7

    0
    2021-10-09T00:00:40+00:00

    Please mark me in the brainlist ✌️✌️✌️✌️✌️✌️

    Please see the attachment below

Leave an answer

Browse

14:4+1-6*5-7*14:3+5 = ? ( )