exam Maths Puzzle Numerical Ability

find the two consecutive integers such that the square of the sum of the two integers is 11 more than the first integer.

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exam Other Question

Write a two-column proof

Given: G is between F and H
Given: H is between G and J
Prove: FG + GJ == FH + HJ

I have the given and FG + GH = FH and GH + HJ = GJ because of addition of line segment.
Where do I go from there
The Fastlock Company hired 57 new employees, which increased its staff by 30%. What was the original number of employees?