The ratio of the ages of Akash and Prakash are 9 : 10 respectively. If the ratio of their respective ages was 4 : 5 ten years ago, what is the present age of Prakash.
Explanation:
The ratio of present ages of Akash and Prakash is 9 : 10.
Let the present ages of Akash and Prakash be 9x and 10x respectively.
Their ages after ten year will be Akash = 9x + 10 Prakash = 10x + 10
∴ 9x-1010x-10 = 45
⇒ 45x - 50 = 40x - 40 ⇒ 5x = 10 ⇒ x = 2
∴ The present age of Prakash = 10x = 20 years.
Hence, 20.
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