bellalove3 bellalove3
  • 21-10-2018
  • Mathematics
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The sum of positive integers b and h is 34. If their difference is 8, what is the value of bh ?

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bryanmingg98
bryanmingg98 bryanmingg98
  • 21-10-2018
Equation 1:
b+h=34

Equation 2:
h-b=8
OR
b-h=8
* since we did not know whether b>h or h>b

Let's assume h>b, so we use h-b=8
(b+h)-(h-b)=34-8
b+h-h+b=26
2b=26
b=13

Then, substitute b=13 into the equation
h-b=8
h-13=8
h=21

If we use b-h=8, we will get b=21, h=13

Answer:
b=13,h=21 OR
b=21,h=13
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