Removal of renal mass stimulates anatomical and functional adaptations in the surviving nephrons, including elevation in single-nephron glomerular filtration rate (SNGFR) and tubular hypertrophy. A goal of this study is to assess the extent to which the concomitant increases in filtered load and tubular transport capacity preserve homeostasis of water and salt. To accomplish that goal, we developed computational models to simulate solute transport and metabolism along nephron populations in a uninephrectomized (UNX) rat and a 5/6-nephrectomized (5/6-NX) rat. Model simulations indicate that nephrectomy-induced SNGFR increase and tubular hypertrophy go a long way to normalize excretion, but alone are insufficient to fully maintain salt balance. We then identified increases in the protein density of \Red{Na$^+$/K$^+$-ATPase,} Na$^+$/K$^+$-2Cl$^-$ cotransporter (NKCC2), Na$^+$-Cl$^-$ cotransporter (NCC), and epithelial Na$^+$ channel (ENaC) such that the UNX and 5/6-NX models predict urine flow and urinary Na$^+$ and K$^+$ excretions that are similar to sham levels. The models predict that in the UNX and 5/6-NX kidneys fractional water and salt reabsorption is similar to sham along the initial nephron segments (i.e., from the proximal tubule to the distal convoluted tubule), with a need to further reduce Na$^+$ reabsorption and increase K$^+$ secretion primarily along the connecting tubules and collecting ducts to achieve balance. Additionally, the models predict that, given the substantially elevated filtered and thus transport load among each of the surviving nephrons, oxygen consumption per nephron segment in a UNX or 5/6-NX kidney increases substantially. But due to the reduced nephron population, whole-animal renal oxygen consumption is lower. The efficiency of tubular Na$^+$ transport in the UNX and 5/6-NX kidneys is predicted to be similar to sham.