Two grandfathers sat discussing their families on a bench under an olive tree.
“How old is your granddaughter Rachel, Moishe?” asked Benny.
“Well, I’m twelve times older than Rachel.”
“How about some more info, Moishe.”
“Well, her mother, Sarah, is six times older. And her mother’s age divided by two gives a remainder of one.”
“Any other details you can offer?”
“Sarah’s age divided by three, four and eight also give a remainder of one, but five none,” added Moishe.
“Thanks, Moishe, that’ll do the trick.”
“And how old is your granddaughter, Miriam, Benny?”
“Twice Rachel’s age plus eight months.”
The two grandfathers continued discussing their families on the bench under the olive tree.
Can you work out the ages of Moishe, Sarah, Rachel and Miriam.