Question

The difference of twice the smaller of the two consecutive integers and the larger is 39. Find the
integers and check your answer.

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Answer 1

Answer:

Step-by-step explanation:

Let the smaller integer be X therefore the larger integer = X + 1.

According to question,

( X + 1 )- 2 X = 39

X -2 X= 39 - 1

-X=38.

Therefore X = -38.

X + 1= -38 + 1 = -37.

Verification:

L. H. S.

=-37 - (2 × -38)

=-37 + 76

=39

= R. H. S.

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Answer 2

Let the three numbers be: x-1, x and x+1.

-Therefore, x-1 + x + x+1 =3x = 39

-Hence x, the middle number is 13.

-The other two numbers are 12 and 14.