Question 141367

Let x=sister's age
And let y=Larry's age
y+3=Larry's age 3 years from now

Now we are told the following:

y=x+8------------------------------------eq1
and
y+3=2x-----------------------------------eq2

substitute y=x+3 from eq1 into eq2

x+8+3=2x  subtract x from each side

x-x+8+3=2x-x  collect like terms

11=x or
x=11-------------------------------sister's age now
substitute into eq1

y=11+8=19----------------------------Larry's age now

CK

19 is 8 years older than 11
and
22=2*11
22=22


Hope this helps---ptaylor