Answer:
Push- ups on last day = 40
Step-by-step explanation:
According to given conditions:
Let push-ups on:
1st day = x
2nd day = x + 5
3rd day = x + 10
4th day = x + 15
5th day = x + 20
6th day = x + 25
7th day = x + 30
Now total push ups = adding all
x + x + 5 + x + 10 + x + 15 + x + 20 + x+ 25 + 30 + x = 175
By adding same terms:
7x + 105 = 175
Subtracting 105 from both sides
7x + 105 - 105 = 175 - 105
7x = 70
Dividing both sides by 7 we get:
x = 70/7
x = 10
Now calculating push-ups on days:
1st day = x = 10
2nd day = x + 5 = 10 + 5 = 15
3rd day = x + 10 = 10 + 10 = 20
4th day = x + 15 = 10 + 15 = 25
5th day = x + 20 = 10 + 20 = 30
6th day = x + 25 = 10 + 25 = 35
7th day = x + 30 = 10 + 30 = 40
So number of push-ups on 7th (last) day is 40.
I hope it will help you!
