Question

The sum of two number is110one fifth of larger number is8more than one ninth of smaller number solve it

Answer 1

$\bold{\boxed{\large{Solution:}}}$

Given:

Let the first smaller number be 'x' and the larger number be (110 - x).


$\bold{\boxed{A.T.Q}}$


$\frac{(110 - x)}{5 } - 8 = \frac{x}{9} \\ \\ \frac{110 - x - 40}{5} = \frac{x}{9} \\ \\ 990 - 9x - 360 = 5x \\ \\ 630 = 5x + 9x \\ \\ 630 = 14x \\ \\ x = \frac{630}{14} \\ \\ x = 45$

So, the smaller number is 45.

and the larger number is (110 - 45) = 65.

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