00:03
All right, so we have x and x plus 6 equaling the parents ' age, and then we have y and y plus 4 for the kids ' age, and this is supposed to equal 20 times 4.
00:30
So grouping like terms, we have 2x plus 2y plus 10 equals 80, thus 2x plus 2y equals 70, thus 2x plus 2y equals 70.
00:45
And we want to find the age of the youngest.
00:48
We want to find the age of x.
00:50
Well, we're also told that the eldest member, and their y plus 6, in terms of their difference with the younger member, that's, so we'll do minus, this is y, this is x.
01:12
So x plus 6 and this is y, their difference is 33.
01:22
Thus, we can write this as x minus 27 equals y, and we can substitute.
01:39
Now we have 2x plus 2x minus 27 equals 70...