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.

Answer 1

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 $$\begin{gathered} \frac{6x+5}{7x+5}=\frac{7}{8} \\ 48x+40=49x+35 \end{gathered}$$
Or x = 5
Hence Sandeep present age is 7(5) + 1 = 36 years