Question

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

Answer 1

Answer:

The numbers are 800 and 1200.

Hope it helps...

Answer 2

Step-by-step explanation:

Let the two number be 'a' and 'b'.

given,

a+b=2000 _eq1_

also,

25% of the smaller number is 1/6th of the larger number

so, 25/100*a=1/6*b

1/4*a=1/6*b

6a=4b

a=2b/3

substituting the value of "a" in eq1

a+b=2000

2b/3+b=2000

(2b+3b)/3=2000

5b=2000*3

5b=6000

b=1200 sol1

a=2b/3

a=2*1200/3

a=2400/3

a=800 sol 2