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 seventy-two. Two times the first number equals ten times the second number. What are the numbers?

Solution

T h e s u m o f tw o n u mb ers i s se v e n t y - tw o . Tw o t im es t h e f i rs t n u mb er e q u a l s t e n t im es t h e seco n d n u mb er . Wha t a re t h e n u mb ers ?

Solution

The numbers : 60, 12

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 72

2 x = 10 y

x + y = 72, 2 x = 10 y : x = 60, y = 12

The numbers : 60, 12

Popular Examples

The sum of three consecutive odd integers is 105. What are the three numbers? List the numbers in order from least to greatest.Find two consecutive odd integers such that the sum of the smaller and 3 times the larger is 330 Two motorcycles leave home at the same time, heading directly toward each other. They are a total of 300 miles apart. The first motorcycle travels at 65 miles per hour. The second motorcycle travels at 85 miles per hour. How long will it take for the two motorcycles to meet?Find three consecutive numbers whose sum is 84 The number 12 is 0.80 percent of what number?