31. Where a member of the armed forces was at the date of his death in receipt of an allowance in respect of a child under article 12(6)(b) by virtue of article 12(6)(c), a pension to, or an allowance in respect of, the child may be awarded at the rate, and subject to the conditions, which would have been appropriate under the foregoing provisions of this Part of this Order if the child had been an eligible member of the family.