WhatsApp has recently become the most popular among the social media platforms because of its multimedia capability to support multiple, video, audio, graphics, texts and others. Thus, making it attractive for use by several organizations and Institutions as a means of official communication. This popularity gained also made it attractive to phishers, attackers and hackers, creating another major concern for users. Although, the recently updated WhatsApp platform now has a two-step verification scheme to enable a good security measure; however, the recent activities of hawkers with their continuous penetrations on this platform informed this paper to propose ahead of time a two-way authentication scheme augumented with typing rhythm modelled with integer programming. The proposed authentication scheme, when implemented, will provide more secure and efficient security for this platform peradventure the present two-step verification scheme is bridged.