Question

Two numbers are 30% and 10% more than the third number. What is the ratio of the first two numbers?

Answer 1

Heya mate ur answer

.

Answer 2

The ratio of the first no to the second no will be

$13:1 1$

Concept Used :-

1) Remember the numbers are

$30\% \: and \: 10\% \: more \: than$

NOT

$30\% \: and \: 10\% \: of$

Both types are asked .

In this case after finding 30% of the number we have to add that in the number itself ,only then it will be more than that number.

2) IMP- As we have to find the ratio we don't need to find the actual numbers .we just need the ratio.

So instead of taking x we will assume any number which makes our calculation easier and save time.

Let us assume the third number is 30

$30\% \: of \: 30 = 9$

$30 + 9 = 39 \: \: our \: first \: no$

$10\% \: of30 = 3$

$30 + 3 = 33 \: our \: second \: no$

Hence the ratio will be

$39:33 = 13:11$

Hence we don't need to assume X as it will be more time consuming and tougher calculations.

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