# 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 #5# years ago is this:**

#F - 5 = 7(M-5)#

*The father is #5# years younger and is #7# times older than Mary was #5# years ago.*

**3) Remove the brackets from the previous equation, simplify it and bring it into the terms of #F#.**

#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 #F = 4M#, and we just worked out that F also #= 7M - 30#. This means #4M# and #7M - 30# is the same. After working it all out, we see #M = 10#.*

**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