Question

One fifth of a number exceeds oneseventh of the number of the same by 10

Answer 1

Let the number be x
1/5x +10 = 1/7x
x +50/5 = 1/7 x
Do cross multiplication
7x +350 = 5x
7x - 5x = - 350
2x = - 350
x = - 170

Answer 2

Let the number be " x " .

One fifth of the number = 1/5 × x

= x/5

One seventh of the number = 1/7 × x

= x/7

So by the given condition,

x/5 - x/7 = 10

7x - 5x /35 = 10

2x = 10 × 35

x = 10 × 35/2

x = 5 × 35

x = 175

So the required number is 175 .