Apositive integer is twice another. the sum of the reciprocals of the two positive integers is 3/10. find the two integers.

Let's call the integers and . The first information (one is twice the other) translates as .

The second information about the sum of reciprocals can be written as

But since we know that , we can rewrite this expression as

Since the numerators of both fractions equal 3, then the denominators must be equal as well. So, we have

And since we know that .

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500