Question

Ex (5) The ratio of two numbers is 5 : 7. If 40 is added in each number, then the ratio becomes
25:31. Find the numbers.​

Answer 1

Answer:

60 ,  84

Step-by-step explanation:

Let the numbers be : 5X and 7X

If 40 is added to each number : 5X + 40  , 7X + 40

Equation : 5X + 40 / 7X + 40   =   25 / 31  [ Because the ratio becomes 25  :  31]

25 ( 7X + 40)     =     31 ( 5X +40)         { By cross multiplying }

175X  +  1,000   =    155X  +  1,240

175X ( - )  155X  =    1,240 ( - )  1000    { By transposing the like terms }

        20X         =                240        

             X         =      240 / 20

             X         =       12  

5X =  5 ( 12 )    =   60

7X  =  7 ( 12 )    =  84

∴ The numbers are 60 and 84

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