Question

Two numbers are in the ratio1:2 if 7 is added to both,their ratio changes to 3:5. The greatest number is:

Answer 1

Answer:

Let the ratio be x and 2x

x+7/2x+7=3/5

5(x+7)=3(2x+7)

5x+35=6x+21

5x-6x=21-35

-x= -14

x=14

Answer 2

Answer:

28 is the largest number

Step-by-step explanation:

let the 2 numbers be X and Y

then x/y=1/2

2x=y --equation 1

when 7 added to both the numbers

x+7/y+7=3/5

on cross multiplication

5x+35=3y+21

5x-3y=-14. -equation 2

substituting 1 in 2 we get

5x-3(2x)=-14

5x-6x=-14

-x=-14

x = 14

so 2x=y

2(14) =y

28=y

so y is the greatest number

hope it helps you