Question

the ratio of two numbers is5:8. if 35 is addedto each number then the ratio becomes 5:7find the number

Answer 1

let the numbers be 5x and 8x
If 35 is added to each no. they become
=5x+35 and 8x+35
A.T.P.,

(5x+35) : (8x+35) = 5:7
or, 35x+245 = 40x+175
or, 245 - 175 = 40x - 35x
or, 70 = 5x
or, 70/5 = x
or, 14 = x


So, 1st no. = 5×14
=70

2nd no.= 8×14
=112

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Answer 2

Answer:

70    ;    112

Step-by-step explaination:

Step-by-step explanation:

let the numbers be 5x ; 8x

hence,(5x+35):(8x+35) = 5:7

    or, 5(x+7) : (8x+35) = 5:7

    or,   (x+7) : (8x+35) = 1:7

    or,            7(x+7)     =     (8x+35)

     or,           7x+49     =      8x+35

     or,                x        =       49-35 = 14

hence the numbers are = (5×14) and (8×14) = 70 and 112