Question

Two numbers are in the ratio of 5:6. If 7 is subtracted from each of the numbers, the ratio become 4:5. Find the numbers​

Answer 1

Answer:

35 and 42 are nos.

Step-by-step explanation:

take a variable x

5x-7=6x-7

now we have

5x-7/6x-7=4/5

by cross multiplication

5(5x-7)=4(6x-7)

it becomes

25x-35=24x-28

therefore

x=7

Answer 2

Step-by-step explanation:

let the numbers be x and y

x:y = 5:6

x-7 : y-7 =4:5

x/y =5/6

do cross multiplication 6x = 5y

6x-5y =0 let it be equation 1

x-7/ y-7=4/5

5x-35 =4 y-28

5x-4y=7 let it be equation2

multiply equation 1 with 5 =

30x -24y =0

let this equation be 3

multiply equation 2 with 6=

30x-24 y=42

let this equation be 4

now subtract equation 4 - equation 3

be solving equation 4-equaton 3 we get

5x=175

x=35

substitute x in equation 1

then you get y value 42

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