Question 500741
let m = Max's age
Let k = Kay's age
:
Write an equation for each statement:
:
" the sum of their ages are 25."
m + k = 25
:
"kay is two years less than twice the age of max."
k = 2m - 2
:
Look at the first equation, replace k with (2m-2)
m + (2m-2) = 25
3m = 25 + 2
3m = 27
m = {{{27/3}}}
m = 9 yrs is Max's age which is what they ask for
:
:
But to check this out find Kay's age also
k = 2(9) - 2
k = 18 - 2
k = 16 yrs is Kay's present age
Confimr this by finding the sum
9 + 16 = 25, agrees with the 1st statement
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Was this detailed enough to see a method for doing these type problems?