Question

The sum of two numbers is 2000. if 25% of the smaller number is one sixth of the larger, find the number​

Answer 1

Answer:

small number = 800

big number =12000

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Step-by-step explanation:

the sum of 2 numbers =2000

1/4x=1/6y

we can find y in terms of x

take 1/6 to 1/4x side

=>1/4x6

2 x 3=6

2 x 2=4

3/2x=y

3/2x+x=2000

5/2x=2000

take 5/2 to 2000

x=2000x2/5

5x400=2000

x=400x2=800

y=3/2x

y=3/2x800

2 x 400=800

y=3x400=12000

Answer 2

step by step explanation:

Let the 2 numbers be x and y.

So, According to question

x+y = 2000 (1)

and, let x be the smaller number and y be be the larger number.

So, 25% of x= 1/6y

25/100x = 1/6y

1/4x=1/6y

x=2/3y

Putting this value of x in (1) , we get

2/3y + y =2000

(2y+3y)/3 =2000

5y/3= 2000

y=1200

so putting this value in (1)

1200+x=2000

x=800

So, the answer is x=800 and y=1200

these are the 2 numbers.

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