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.