en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Word Problems >

The sum of the two numbers is 63. Three times the smaller number is 14 more than twice the larger number. Find the numbers.

Solution

T h e s u m o f t h e tw o n u mb ers i s 63. T h ree t im es t h e s ma ll er n u mb er i s 14 m ore t han tw i ce t h e l a r g er n u mb er . F in d t h e n u mb ers .

Solution

The numbers : 28, 35

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 63

3 x = 14 + 2 y

x + y = 63, 3 x = 14 + 2 y : x = 28, y = 35

The numbers : 28, 35

Popular Examples

A principal of 2100 is invested at 8% interest, compounded annually. How much will the investment be worth after 6 years?Use the calculator provided and round your answer to the nearest dollar.The price of a digital camera was reduced by 15% to 51 dollars. Find the original price Owen invests money in an account paying a simple interest of 5.6% per year. If he invests 110 and no money will be added or removed from the investment, how much will he have in one year, in dollars and cents?What is the probability of getting an ace card from a standard deck?the sum of two numbers is 12. one of the numbers is 20 more than the other number. let x and y be the two numbers with y being the larger of the two numbers. write and solve a system using substitution