1) Andy’s father is 25 years older than him and his sister’s age is twice the age of Andy. If the total of their ages is 53 years’ what is Andy’s age and his father’s age???

2) A car travels certain distance in 4 hours it takes the car one hour longer to travel the same distance if its speed decreases 20 km per hour. How long is the distance traveled?

Andy is 7 and Andy's father is 32

Step-by-step explanation:

I used the guess and check method, starting from Andy being 5.

If Andy was 5, his dad would be 30, and his sister would be 10. 5+30+10=45

Too low

If Andy was 6, his dad would be 31, and his sister would be 12. 6+31+12= 49

Too low again

If Andy was 7, his dad would be 32, and his sister would be 14. 7+32+14=53

Andy is 7 and his Father is 32

Another method you could use is to make an equation and solve.

A = Andy

S= Sister

F= Father

S=2A (Andy's sister is twice the age of Andy)

F=A+25 (Andy's father is 25 years older then Andy)

A+S+F=53 (The total of their ages is 53 years)

Substitute your variables

A+(2A)+(A+25)=53

Subtract 25 from both sides

A+(2A)+(A+25)=53

                 -25 -25

A+(2A)+(A)=28

Add up your variables

A+(2A)+(A)=28

4A=28

Divide to find A

4A=28

A=7

Now solve for the Fathers age

F=A+25

F=32

Andy is 7 and his Father is 32

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4