N is more than 40 but less than 80.

When N is divided by 5, the remainder is 2.
When N is divided by 7, the remainder is 4.
Find the value of N.

40 < N < 80

"When N is divided by 5, the remainder is 2"
---> N can only be 42, 47, 52, 57, 62, 67, 72, 77
"When N is divided by 7, the remainder is 4"
---> N can only be 46, 53, 60, 67, 74

What is the only number that fits all three conditions ?