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Populaire Word Problems >

A positive integer is twice another. The sum of the reciprocals of the two positive integers is frac(3,22). Find the two integers.

Solution

A p os i t i v e in t e g er i s tw i ce an o t h er . T h e s u m o f t h e rec i p roc a l s o f t h e tw o p os i t i v e in t e g ers i s f r a c (3, 22) . F in d t h e tw o in t e g ers .

Solution

The numbers : 0.93167 \dots, 0.46583 \dots

étapes des solutions

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = 2 y

\frac{1}{x} + \frac{1}{y} = 3.22

x = 2 y, \frac{1}{x} + \frac{1}{y} = 3.22 : x = 0.93167 \dots, y = \frac{75}{161}

\frac{75}{161} = 0.46583 \dots

The numbers : 0.93167 \dots, 0.46583 \dots

Exemples populaires

Four times the sum of a number and 3 is 2.the différence between four times a number and 13 is 55 the sum of twelve and a number is thirteen An item is regularly priced at 47. It is on sale for15% off the regular price. find the sales price April took out a 600 loan from the bank. At the end of 5 years, she pays back the principal, plus 60 simple interest.What was the annual interest rate?