At present, the ratio between the ages of Amit and Dhiraj is 5 : 4.After 6 years,Amit’s age will be 26 years.What is the age of Dhiraj at present?
Question
At present, the ratio between the ages of Amit and Dhiraj is 5 : 4. After 6 years, Amit’s age will be 26 years. What is the age of Dhiraj at present?
Solution
Step 1: According to the problem, the ratio of Amit's age to Dhiraj's age is 5:4. Let's assume Amit's age is 5x and Dhiraj's age is 4x.
Step 2: The problem also states that Amit will be 26 years old in 6 years. This means Amit's current age is 26 - 6 = 20 years.
Step 3: So, we can set up the equation 5x = 20 to find the value of x. Solving this equation gives x = 4.
Step 4: Now, we can find Dhiraj's age by substituting x = 4 into the equation for Dhiraj's age, which gives 4x = 4*4 = 16 years.
So, Dhiraj's current age is 16 years.
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