Math Help

[loveapples]

Find the number whose double exceeds 70 by as much as the number itself is less than 140.


so what's the number? D:
it's not 71 or 36... >_>

[Zaratus]

70.

Lol.

[loveapples]

Thanks Aya. I knew I was overthinking it. lol

[Shikari]

Can't be 70, doesn't say less or equal, just less.

[mahawirasd]

it is 70 ...

2x - 70 = y
and
140 - y = x
so
2x - 70 = 140 - x
3x = 210


-w-

[Ngjoko]

I don't really understand your questions as i can only read and understand formulas, but in my head are these:
2n > 70 + n and 70 + n < 140

2n > 70 + n
2n - n > 70
n > 70

70 + n < 140
n < 140 - 70
n < 70

so, n is less than 70 and more than 70, which doesn't seem to make sense.

[Namine]

It is 70 because 2n > 70 + n and 70 + n < 140`are the wrong conditions according to the question.

I have:

2n - 70 = 140 - n

which is similar to what wira wrote to begin with.

"the number whose double exceeds 70 by as much as the number itself is less than 140."

Bolded part signifies where the equal sign is, and got nothing about inequalities. Wira already explained the 2 sides of the equality sign. The wording is certainly not best, but this would be how to interpret the question.

[Shikari]

Since people are failing:

is less than 140.

Less than means the number is NOT EQUAL TO OR GREATER THAN, only LESS than said number in this case 140. ffs.

[Ngjoko]

I think it's 70 too. Since what i understood makes no sense, i assume that the less or more is actually equal. I can understand formulas and conditions well, but not in the form of text, my brain has hard time interpreting.

[Namine]

"by as much as the number itself is less than 140."

Yes the number itself is not equal to 140.

Therefore, 140 and the number must have a difference between them. (thus wira's equation of 140 - y = x, where y is the difference.)

"the number whose double exceeds 70 by as much as..."

Doubling the number is greater than 70, and there's a difference there too. This difference is as much as the difference between 140 and the number, thus there's equaly involved somewhere. Thus why I wrote,

2n - 70 = 140 - n

(which is the same as wira's equation after substituting for y)

It didn't say the difference between the number and 140 can't be the number itself. Thus 70 is viable solution.