Question

Find three consecutive numbers in which the first and the second number is 15 more than the third​

Answer 1

Answer:

Grade 7

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Mathematics

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Chapters in CONCISE Mathematics - Middle School - 7

Exercises in Simple Linear Equations (Including Word Problems)

Question 15

Q15)Find three consecutive natural numbers such that the sum of the first and the second is 15 more than the third.

Solution :

Let the first consecutive number = x,

Second consecutive number = x + 1

and Third consecutive number = x + 2

According to the condition,

x+x+1=15+x+2x+x+1=15+x+2

⇒2x+1=17+x⇒2x+1=17+x

⇒2x-x=17-1⇒2x−x=17−1

⇒x=16⇒x=16

∴ The first natural number = x = 16

Second natural number = x+1 = 16+1 = 17

Third natural number = x +2 = 16 + 2=18

Hence, the three consecutive natural numbers are 16, 17 and 18.