Verified answer

Let the numbers be x and y such as x<y So the difference be y-x which is 30 So

y-x=30 ......(1)

The fraction is x/y (because the fraction is smaller no. divided by larger no.) Which is 4/7

So

x/y=4/7

x=4y/7

Now substitute x in equation (1)

So now we have

y-4y/7=30

Multiplying the equation by 7 we have

7y-4y=210

3y=210

y=210/3

So

y=70

Now we know that x=4y/7 So substitutng y we have

x=4*70/7

x=4*10

x=40

So the two numbers are 40 and 70.

Hope that helped.

The differ of two nos. is 30. If the smaller is divided by the larger the fraction obtain is 4/7 Find the numbers?

Let x = bigger number

x - 30 = smaller number

(x - 30)/x = 4/7

x - 30 = 4x/7

7x - 210 = 4x

7x - 4x = 210

3x = 210

x = 70 ANS

70 - 30 = 40 ANS

Hope I help you.

teddy boy

Let x = the larger number

That means the smaller number = x - 30

Therefore:

(x - 30)/x = 4/7

x - 30 = 4x/7

7x - 210 = 4x

3x = 210

x = 70

So the larger number is 70.

The smaller number is the larger number minus 30 which is 70 - 30 which = 40

70 and 40

40 and 70

x - y = 30

y/x = 4/7

4/7, 8/14, 12/21, 16/28, 20/35, 24/42, 28/49, 32/56, 36/63, 40/70

ANS: 40 and 70

the number is 40

let x-smaller number

y-larger number

x/y=4/7

7x=4y

x=4y/7

y-x=30

if x=4y/7

then y-4y/7=30

3y/7=30

3y=210

y=70

x=4y/7

x=4(70)/7

x=40

40 and 70