Question

Sara is 3 years older than Fiona. Paul is 3 years younger than Fiona. If the total of their ages is 60, how old is the youngest of them?

Answer 1

Answer:

Step-by-step explanation:

If P is 3 years younger than F, and F is 3 years younger than S, and we let  represent the age of P, then F's age is  and S's age is . And we know that:

f%2B3%2Bf%2Bf-3=60

3f=60

f=60%2F3

let�s Sara�s age be s, Fiona�s age f, and Paul�s age p

given:

Sara is 3 years older than Fiona, =>s=f%2B3....eq.1

Paul is 3 years younger than Fiona, =>p=f-3....eq.2

the total of their ages is 60,=>s%2Bf%2Bp=60....eq.3

substitute s and p from eq.1 and eq.2 into eq.3

f=20->Fiona is 20 years old

go to

s=f%2B3....eq.1..substitute f

s=20%2B3

s=23-> Sara is 23 years old

go to

p=f-3 ....eq.2..substitute f

p=20-3

p=17 ->Paul is 17 years old

so, the youngest of them is 17 years old