john worked five less than twice as many hours as Jane did how many hours did each work if together they worked 97 hours

Answer with Step-by-step explanation:

Let Jane worked for x hours

John worked five less than twice as many hours as Jane

i. e. John worked for 2x-5

Together they worked 97 hours

i. e. x + 2x - 5 = 97

i. e. 3x - 5 = 97

i. e. 3x = 102

i. e. x = 34

and 2x - 5 = 2*34-5

= 63

Hence, Jane worked for 34 hours

and John worked for 63 hours

John worked 61 yours and Jane worked 36 hours