Leo is 5 years older than pat. in 10 years, Leo will be twice Pat's present age. How old is Leo now?

Answer 1

Leo is 5 years older than Pat.

Since Leo's age is in terms of Pat's age (you need to know Pat's age to compute Leo's age) you should define P to be Pat's age now.

Let P = Pat's age now

Let P + 5 = Leo's age now

In 10 years Leo age will be twice Pat's age now

That last line means Leo's age now + 10 = 2*Pat's age now.

So P+5 +10 = 2P

Finish up

Answer 2

Let's assume Pat's present age is x. Therefore, Leo's age will be x+5 as he is 5 years older than Pat. Now we need to find their ages in 10 years from now. In 10 yrs, Pat's age will be x+10. And Leo's age will be x+5+10 which is x+15.

Question is saying in 10 years, Leo will be twice Pat's present age, therefore, the equation will be

2 x =x+15 ( where x= Pat's present age and x + 15 is Leo's age in 10 yrs.)

Now solving the equation , we get

2 x- x=15 (taking all x to one side)

x=15

Hence, Pat's present age is 15. (because x is Pat's present age)

Therefore, Leo's age will 15+5=20 as Leo is 5 yrs older than Pat. Answer is : 20 years

We can also check that our answer is right . Leo's age is 20+10= 30 now , which is twice Pat's present age 15.