Two solids A and B of mass \( 1 \, \text{kg} \) and \( 2 \, \text{kg} \) respectively are moving with equal linear momentum. The ratio of their kinetic energies \( \text{(K.E.)}_A : \text{(K.E.)}_B \) will be \( \frac{A}{1} \), so the value of A will be ______.