en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Word Problems >

One number is greater by 6 than twice another number, but 3 times the smaller number exceeds the greater number by 1. Find the numbers.

Solution

O n e n u mb er i s g re a t er b y 6 t han tw i ce an o t h er n u mb er, b u t 3 t im es t h e s ma ll er n u mb er e x cee d s t h e g re a t er n u mb er b y 1. F in d t h e n u mb ers .

Solution

The numbers : 0, \frac{1}{3} or - \frac{59}{62}, \frac{1}{62}

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = x \cdot 62 y

3 y = x + 1

x = x \cdot 62 y, 3 y = x + 1 : (x = 0, y = \frac{1}{3} x = - \frac{59}{62}, y = \frac{1}{62})

The numbers : 0, \frac{1}{3} or - \frac{59}{62}, \frac{1}{62}

Popular Examples

The diameter of a circle is 8. What is the area of that circle?Wesley opened a savings account and deposited 212.00 as principal. The account earns 5% interest, compounded monthly. What is the balance after 4 years?Five times a number decreased by 7 times the same number is at most 20. what is the number?the sum of 7 and a number is 56 10 times the reciprocal of a number equals five times the reciprocal of eight