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3 votes
A and b are whole numbers such that
a- b = 11 and a x b = 42. What is a + b?​

User Daleyjem
by
5.2k points

2 Answers

1 vote

Step-by-step explanation:

a - b = 11

a = b+11

a × b = 42

(b + 11)b = 42

b² + 11b - 42 = 0

b² + 14b - 3b - 42 = 0

b (b + 14l -3 (b + 14) = 0

(b - 3) (b + 14) = 0

b = 3 or -14

a = 14 or -3

Thus innthe either case , a + b = 11

User Fxtentacle
by
5.5k points
7 votes

Answer:

17

Step-by-step explanation:

you need to factorize the value of a×b since you know that they are whole numbers which means there is no fraction or irrational or negative numbers

you will find that 42=21×2=7×6=14×3=21×1

then you begin to find the difference of the numbers

21-2=9

7-6=1

14-3=11

21-1=20

then you will notice that the third one is right as a=14,b=3

then you take their sum

User Dhorelik
by
4.8k points