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Question

One year ago,the ratio of Anil's and Sandeep's age was 6:7.After 4yrs,their ratio would become 7:8.How old is Sandeep.

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Solution

Ratio of Anil and Sandeep age 1 year ago is 6:7
Let there ages one year ago be 6x and 7x respectively
Then there present ages will be 6x +1, and 7x +1
After 4 year there ages will be 6x +1 + 4 and 7x + 1 + 4 respectively.
These ages are in ratio of 7:8
Hence 6x+57x+5=7848x + 40 = 49x + 35
Or x = 5
Hence Sandeep present age is 7(5) + 1 = 36 years

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