Suzy is 10 years older than billy, and next year she will be twice as old as billy. How old are they now?

Present age of Babu be x

Age of Kim be x+10

Next year Babu age will be x+1
Kim age will be x+11

x+11=2(x+1)
x+11=2x+2
x-2x=2-11
-1x=-9
x=-9/-1
9
Babu's age 9
Kim's age is 9+10=19

Ansewer was so good and helpfull

current ages:

billy ---- x
Suzy --- x+10

next year:
billy --- x+1
Suzy --- x+11

x+11 = 2(x+1)

carry on

Present age of babu. X

Age of Kim. X+10

Next year babu age will be x+1.

Kim age will be x+11
X+11=2(x+1)
X-2x=2-11
-1x=-9
X=-9/-1
Babu age 9 years
Kim age x+10
=x=9+10
=19

Well it helped me a lot. Nice....

To solve this problem, let's break it down into steps.

Step 1: Set up the variables.
Let's use the variable "S" to represent Suzy's current age and "B" to represent Billy's current age.

Step 2: Translate the given information into equations.
According to the problem, Suzy is 10 years older than Billy. So we can write the equation: S = B + 10.

Next, it says that next year Suzy will be twice as old as Billy. So we can write the equation: S + 1 = 2(B + 1).

Step 3: Solve the system of equations simultaneously.
Now we have a system of two equations with two variables:
1) S = B + 10
2) S + 1 = 2(B + 1)

Let's substitute the first equation into the second equation:
(B + 10) + 1 = 2(B + 1)
B + 11 = 2B + 2 (by simplifying)

Simplifying further, we get:
B - 2B = 2 - 11
-B = -9
B = 9

Now substitute this value back into the first equation to find Suzy's age:
S = 9 + 10
S = 19

Thus, Billy is currently 9 years old and Suzy is currently 19 years old.