Question

find a number if one tenth of it when added to it's one ninth gives 19​

Answer 1

SOLUTION

TO DETERMINE

The number if one tenth of it when added to it's one ninth gives 19

EVALUATION

Let N be the required number

Now it is given that one tenth of N when added to one ninth of N gives 19

So by the given condition

$\displaystyle\sf{ \frac{N}{10} + \frac{N}{9} = 19 }$

$\displaystyle\sf{ \implies \frac{9N + 10N}{90} = 19 }$

$\displaystyle\sf{ \implies \frac{19N}{90} = 19 }$

$\displaystyle\sf{ \implies N = 19 \times \frac{90}{19} }$

$\displaystyle\sf{ \implies N = 90 }$

FINAL ANSWER

Hence the required number = 90

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