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

John worked 61 yours and Jane worked 36 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