David Rs. 1301 between A and B , so that the amount of A after 7 years is equal to the amount of B after 9 years, the interest being compounded at 4% per annum .
Let the two parts be Rs. `x` and Rs. `(1301 - x)`
` x (1 + 4/100)^7 = (1301 - x ) (1 + 4/100)^9`
`hArr (x)/((1301 - x)) = (1 + 4/100)^2 = (26/25 xx 26/25)`
`hArr 625x = 676(1301 - x)`
`hArr 1301x = 676 xx 1301`
`hArr x = 676`
So, the two parts are Rs. 676 and Rs. (1301 - 676) i.e. 676 and Rs. 625
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