Sam and Jeremy have ages that are consecutive odd integers. The product of their ages is 783, which equation could be used to fi

Question

maksim [4K]

2 years ago

13

Sam and Jeremy have ages that are consecutive odd integers. The product of their ages is 783, which equation could be used to fi

nd Jeremy's age,j, if he is the younger man?

Mathematics

1 answer:

stepladder [879] · Answer 1 · 2022-05-26T06:59:08+03:00

(2x+1)=Jeremy´s age
(2x+3)=Sam´s age.
we suggest this equation:
(2x+1)(2x+3)=783
4x²+6x+2x+3=783
4x²+8x-780=0
x²+2x-195=0

We solve this quadratic equation:
x=[-2⁺₋√(4-4*1*(-195))]/2=(-2⁺₋28)/2

x₁=(-2-28)/2=-15 this solution is not valid.
x₂=(-2+28)/2=13

Jeremy´s age=2x+1=2*13+1=27
Sam´s age=2x+3=2*13+3=29