Ben is 4 times as old as Izzy and is also 6 years older than Izzy. How old is Izzy
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Step-by-step explanation:

Let B = age on Ben

Let B = age on Benand age of Izzy =l

Let B = age on Benand age of Izzy =lB =41

Let B = age on Benand age of Izzy =lB =41B = 6+1

Let B = age on Benand age of Izzy =lB =41B = 6+1Gives 6+1 = 41

Let B = age on Benand age of Izzy =lB =41B = 6+1Gives 6+1 = 416 = 31

Let B = age on Benand age of Izzy =lB =41B = 6+1Gives 6+1 = 416 = 311=2 years and B = 4x2 = 8years

Let B = age on Benand age of Izzy =lB =41B = 6+1Gives 6+1 = 416 = 311=2 years and B = 4x2 = 8yearsAge of Izzy = 2 years

Explanation:

Let Izzy's age be x and Ben's age be y

y=4x

4x-y=0. (1)

y= 6+x

x-y=-6 (2)

By using elimination

3x=6

x=2

2 years

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