Harry is x years old now. 3 years ago Jenny was twice Harry's age. In three years timthe Ahmed will be 5 times as old as Jenny. Write an expression for Ahmed's ago now.
j-3 = 2(x-3)
a +3 = 5(j+3) or a = 5 j +12
but j = 2x-3
so
a = 5(2x-3) + 12
a = 10 x -3
Let's break down the problem step-by-step:
Step 1: Understand the given information.
- Harry is currently x years old.
- Three years ago, Jenny was twice Harry's age.
Step 2: Express Harry's age three years ago.
Harry's age three years ago would be x - 3.
Step 3: Express Jenny's age three years ago.
Since three years ago Jenny was twice Harry's age, we can write an equation as follows:
Jenny's age three years ago = 2 * (Harry's age three years ago)
Jenny's age three years ago = 2 * (x - 3)
Step 4: Calculate Ahmed's age now.
In three years' time, Ahmed will be 5 times as old as Jenny. So, we can write an equation as follows:
Ahmed's age in three years = 5 * (Jenny's age in three years)
Ahmed's age in three years = 5 * (2 * (x - 3))
Step 5: Express Ahmed's age now.
Ahmed's age now can be expressed as: Ahmed's age in three years - 3.
Ahmed's age now = (5 * (2 * (x - 3))) - 3
Therefore, the expression for Ahmed's age now is:
Ahmed's age now = (10 * (x - 3)) - 3
To write an expression for Ahmed's age now, let's break down the information given:
- Harry is currently x years old.
- Three years ago, Jenny was twice Harry's age. So, 3 years ago, Jenny's age was 2 * (Harry's age - 3).
- In three years, Ahmed will be 5 times as old as Jenny. So, in three years, Ahmed's age will be 5 * (Jenny's age + 3).
To find Ahmed's age now, we need to add the current age difference between the present and three years ago. So, Ahmed's age now can be expressed as:
Ahmed's age now = Ahmed's age in three years - 3
The expression for Ahmed's age now can be written as:
Ahmed's age now = 5 * (Jenny's age + 3) - 3
Now, substitute the value of Jenny's age (2 * (Harry's age - 3)) into the expression:
Ahmed's age now = 5 * (2 * (Harry's age - 3) + 3) - 3
Simplifying further if needed will give the final expression for Ahmed's age now.