Question #b9e5a
2 Answers
The Father is now
Explanation:
Let us say the current Mary is
1) In the present:
#F = 4M#
Mary’s father is four times as old as Mary.
2) Using the terms above, the equation of their age
#F - 5 = 7(M-5)#
The father is
3) Remove the brackets from the previous equation, simplify it and bring it into the terms of
#i) " "F - 5 = 7M - 35#
#ii) " "F = 7M - 30#
4) Piece it all together.
#7M - 30 = 4M#
#3M - 30 = 0#
#3M = 30#
#M = 10#
We already know that
5) Double check by substituting.
#M = 10#
#F = 4M = 40#
#F - 5 = 35#
#M - 5 = 5#
#5 xx 7 = 35#
It all works out...
6) All Done! I hope I helped.
She is
Explanation:
There are two people: Mary and her Father
and two periods of time: present and
Write an expression for each person for each period of time:
Mary is younger, so let her present age be
Her father is
Five years ago, they were both younger by
Mary's age was
Her father was
However,
Write this as an equation.
She is