FALLS CHURCH, Va. — Powered by a big gain in noninterest income, First Virginia Banks Inc.’s first-quarter per-share net income rose 24.3% from a year earlier, to 87 cents a share, or $40.26 million.

The company said much of the jump in noninterest earnings came from two one-time events. First Virginia pocketed $4.74 million when it sold its stake in the Star Systems network of automated teller machines, and it gained another $1.47 million on securities sales.

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