Question

the sum of two number is 110 one fifth of the larger number is 8 more than one 9th of the smaller number solve it

Answer 1

Solution:-
Let the first smaller number be 'x' and the larger number be 110 - x
So, according to the question.
(110 - x)/5 - 8 = x/9
Taking L.C.M. and solving it, we get.
(110 - x - 40)/5 = x/9
Now, cross multiplying these, we get.
990 - 9x - 360 = 5x
630 = 5x + 9x
630 = 14x
x = 630/14
x = 45
Smaller number is 45 and the larger number is 110 - 45 = 65
Answer.

Answer 2

Answer:

Step-by-step explanation:

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

So, according to the question.

(110 - x)/5 - 8 = x/9

Taking L.C.M. and solving it, we get.

(110 - x - 40)/5 = x/9

Now, cross multiplying these, we get.

990 - 9x - 360 = 5x

630 = 5x + 9x

630 = 14x

x = 630/14

x = 45

Smaller number is 45 and the larger number is 110 - 45 = 65