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Three consecutive integers add up to 51. What are these integers?
Solution:
Let's form a linear equation for the given problem statement.
Let the first integer be x.
Then the next consecutive two integers will be x + 1 and x + 2
x + (x + 1) + (x + 2) = 51 [Sum of the 3 consecutive integers is 51]
⇒ 3x + 3 = 51
⇒ 3x = 51 - 3
⇒ 3x = 48
⇒ x = 48/3
⇒ x = 16,
Thus, x + 1 = 17, x + 2 = 18
Thus, the three consecutive integers are 16, 17, and 18.
☛ Check: NCERT Solutions for Class 8 Maths Chapter 2
Video Solution:
Three consecutive integers add up to 51. What are these integers?
NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.2 Question 6
Summary:
If three consecutive integers add up to 51, the integers are 16, 17 and 18.
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