# If 2/5 of a number exceeds 1/7 of the same number by 36

### If 2/5 of a number exceeds 1/7 of the same number by 36

If 2/5 of a number exceeds 1/7 of the same number by 36.
Find the number.
Guest

### Re: If 2/5 of a number exceeds 1/7 of the same number by 36

Solution: Let the number is x
then 2/5 of x=2x/5
x exceeds 1/7 of number 36

there for the equation 2x/5=x/7+36
2x/5-x/7-36=0
9(x-140)/35=0

x=140

the number is 140. Jonasmathwork

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### Re: If 2/5 of a number exceeds 1/7 of the same number by 36

Yes correct method he used.

jackwilson

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### Re: If 2/5 of a number exceeds 1/7 of the same number by 36

Jonasmathwork wrote:Solution: Let the number is x
then 2/5 of x=2x/5
x exceeds 1/7 of number 36

there for the equation 2x/5=x/7+36
2x/5-x/7-36=0
9(x-140)/35=0

x=140

the number is 140. Yes this method is correct

burgess

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### Re: If 2/5 of a number exceeds 1/7 of the same number by 36

I agree that the method is correct but I would have written it a little differently.

Yes, calling "the number" x, "2/5 of the number" is 2x/5.
Yes, "1/7 of that same number" is x/7.

I would have written "A exceeds B by C'" as A- B= C so "2/5 of a number exceeds 1/7 of the same number by 36" as 2x/5- x/7= 36 immediately.

Then 2(7)x/5(7)- 5x/7(5)= 14x/35- 5x/35= 9x/35= 36.

x= 36(35/9)= (36/9)(35)= 4(35)= 140.

That is, of course, exactly what Jonasmathwork got.
Guest

### Re: If 2/5 of a number exceeds 1/7 of the same number by 36

Guest wrote:If 2/5 of a number exceeds 1/7 of the same number by 36.
Find the number.

Let the required number be x.

$$\frac{2}{5} * x = \frac{1}{7} * x + 36$$

$$\frac{2}{5} * x - \frac{1}{7} * x = \frac{14}{35} * x - \frac{5}{35} * x = \frac{9}{35} * x = 36$$

$$x = 36 * \frac{35}{9} = 4 * 35 = 140$$

Answer: $$x = 140$$
Guest

### Re: If 2/5 of a number exceeds 1/7 of the same number by 36

Guest wrote:
Guest wrote:If 2/5 of a number exceeds 1/7 of the same number by 36.
Find the number.

Let the required number be x.

$$\frac{2}{5} * x = \frac{1}{7} * x + 36$$

$$\frac{2}{5} * x - \frac{1}{7} * x = \frac{14}{35} * x - \frac{5}{35} * x = \frac{9}{35} * x = 36$$

$$x = 36 * \frac{35}{9} = 4 * 35 = 140$$

Answer: $$x = 140$$

Yes, I have the same answer

robert1919

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