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شائع Word Problems >

Find three consecutive integers such that the sum of the first and half the third is 22 more than the second.

الحلّ

F in d t h ree co n sec u t i v e in t e g ers s u c h t ha t t h e s u m o f t h e f i rs t an d ha l f t h e t hi r d i s 22 m ore t han t h e seco n d .

الحلّ

The numbers : 44, 45, 46

خطوات الحلّ

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 1

Consecutive number 2 : x + 2

A.T.Q.:

x + \frac{1}{2} (x + 2) = 22 + x + 1

x + \frac{1}{2} (x + 2) = 22 + x + 1

حلّ:

x = 44

x + 1 = 44 + 1 = 45

x + 2 = 44 + 2 = 46

The numbers : 44, 45, 46

أمثلة شائعة

What is the probability that the sum of the numbers coming up when rolling three dice is greater than 16?Joanne is 3 years older than Amy. Three times Joanne’s age is 15 years more than twice Amy’s age. How old are Joanne and Amy?Write and solve a proportion to: 30% of what number is 9 the sum of two numbers is 68. the larger number is 16 more than the smaller number. What are the numbers?One number exceeds another number by 5 and the product of the two numbers is 126. Find the numbers.