let

x = the value of Taha's coin collection

y = the value of Tahla's coin collection

Taha and Tahla figure that the combined value of their coin collection is Rs189

x + y = 189

Tahla is valued at Rs 43 more than Taha

y = 43 + x

by solving the system of equations

x + y = 189

y = 43 + x

we find

x = Rs73

y = Rs116

The values for Taha's and Tahla's collections are Rs73 and Rs116 correspondently.