Henry Ernest Dudeney/Modern Puzzles/189 - Weighing the Baby

by : $189$

 * Weighing the Baby
 * There was a family group at the automatic weighing machine, trying to weigh the baby.
 * Whenever they put the baby on the machine, she always yelled and rolled off,
 * while the father was holding off the dog, who always insisted on being included in the operations.
 * At last the man, with the baby and Fido, were on the machine together.
 * The dial read $180$ pounds.
 * The man turned to his wife and said,
 * "Baby and I weigh $162$ pounds more than the dog,
 * while the dog weighs $70$ per cent less than the baby.
 * We must try to work it out at home."
 * What was the actual weight of the baby?