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 two numbers is 22 . Three times one number increased by 5 is the same as twice the other number decreased by 4. What is the larger of the two numbers?

Solution

T h e s u m o f tw o n u mb ers i s 22 . T h ree t im es o n e n u mb er in cre a se d b y 5 i s t h e s am e a s tw i ce t h e o t h er n u mb er d ecre a se d b y 4. Wha t i s t h e l a r g er o f t h e tw o n u mb ers ?

Solution

The largest number : 15

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 22

3 x + 5 = 2 y - 4

x + y = 22, 3 x + 5 = 2 y - 4 : x = 7, y = 15

Select the largest solution:

15

The largest number : 15

Popular Examples

Mark puts 2,000.00 into an account to use for school expenses. The account earns 15% interest, compounded monthly. How much will be in the account after 8 years?Max puts 700.00 into an account to use for school expenses. The account earns 14% interest, compounded annually. How much will be in the account after 8 years?eight less than a number 105% of what number is 37.8 You have 15,000 to invest in a retirement account. The fund increases at a rate of 10% compounded monthly. What will be the value of the investment at the end of 30 years? Round to the nearest dollar.