Shamir’s encryption method is to share a secret image by n number of shadow images and then r shadow images can be used to obtain the original secret image. In proposed method, the size of secret image is greater than the size of the shadow image used for the encryption. Such shadow image is beneficial to process in image hiding, transmission, or storage. For this purpose Shamir’s encryption technique is used in this proposed work. In Shamir’s encryption technique, author used the equation to encrypt the data into multiple parts. In the equation, time required for the multiplication and division of the input components of the data is more than addition and subtraction. Hence, the encryption time is little bit high. To reduce this encryption and decryption time, Shamir’s equation is modified by converting all the multiplication part into addition and division parts into subtraction in this proposed work.