Question

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?



!!!! Please answer with the explanations!!!!!!

Answer 1

Andy is 7 and Andy's father is 32

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