en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Word Problems >

The difference of two integers is 9. Five times the smaller is 7 more than three times the larger. Find the numbers

Solution

T h e d i ff ere n ce o f tw o in t e g ers i s 9. F i v e t im es t h e s ma ll er i s 7 m ore t han t h ree t im es t h e l a r g er . F in d t h e n u mb ers

Solution

The numbers : - 10, - 19

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x - y = 9

5 x = 7 + 3 y

x - y = 9, 5 x = 7 + 3 y : x = - 10, y = - 19

The numbers : - 10, - 19

Popular Examples

a woman can bicycle 84 miles in the same time as it takes her to walk 12 miles. She can ride 9 mph faster than she can walk. How fast can she walk?Twice the sum of number x and five 85945.60 is 7% of what number Nate deposited 1,000 in an account earning 5% interest compounded annually.To the nearest cent, how much will he have in 4 years?Pamela is 10 years younger than Jiri. The sum of their ages is 70 . What is Jiri's age?