Mensah is 5 years old and joyce is thrice as old as mensah. In how...

Mensah is 5 years old and joyce is thrice as old as mensah. In how many years will joyce be twice as old as Mensah?

Mensah’s age is 5. Thus,

Joyce’s age is 15 (5*3=15)

The difference between their ages is 10 (15–5=10)

As we ought to find how many years Joyce’s age will be twice of Mensah’s age, we should write down the following :

15+X=2*(5+X)

15+X=10+2X lets add (-10-X) to both sides of the equation and

15+X-10-X = 10+2X-10-X

5=X —-> X=5

After 5 years Joyce’s age will be 20 (15+5=20)

After 5 years Mensah’s age will be 10 (5+5=10)

After 5 years Joyce will be twice as old as Mensah (10*2=20)

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