exam Maths Puzzle Numerical Ability

Please help me solve the following problem straigt from a worksheet:

The equation |x+1|=3 produces two solutions, x=2 and x=-4. For what values of a and b would the equation |x+a|=b produce two solutions that are equal? Explain your reasoning.

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10. Mona earns three times as much as an actuary as she does as a writer. Her total income is $40,000 more than that of her brother. Heearns 1/2 as much as Mona does as write an equation in slope-intercept form for the line that stisfies each set of conditions.

slope 1, passes through (2,5)