Question

2 people have calculators, one person starts at 100 and subtracts 7 each time. Another starts at zero and adds 3 each time. If they press keys at the same time, will they ever get to same number?

Answer 1

yes, they will get the same number after they both clicked the numbers 10 times

Explanation:

the equation for this would be:

-7x + 100 = 3x

add 7x on both sides of the equal sign

100 = 10x

divide 10 on both sides of the equal sign

10 = x

also x represents the amount of times clicked

Answer 2

Yes, after 10 key presses, both will arrive at the number 30.

Explanation:

The difference between the numbers on the calculators is reduced by 10 with each key press. After 10 key presses, the initial difference of 100 will be zero. After 10 key presses of (-7), the calculator starting at 100 will be ...

100 +10(-7) = 30

After 10 key presses of (+3), the calculator starting at 0 will be ...

0 +10(+3) = 30

Both calculators will show 30 after 10 key presses.