Question

2 nos in the ratio 2:5are such that the 1st no is 36 less than the 2nd no .Find the second no

Answer 1

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Answer 2

Answer:

60

Step-by-step explanation:

Let the two numbers in the ratio of 2:5 be 2x and 5x respectively.

According to the question, the first number is 36 less than the other. This means that if we subtract the first number, ie 2x from the second number, ie 5x, we will get 36 as their difference.

So, if we write it in mathematical form, it will look something like this:      5x - 2x = 36                                                                                                    ⇒ x(5-2) = 36 {Taking out x as common term}                                              ⇒ x(3) = 36 {5 - 2 = 3}                                                                                    ⇒ x  = 36 ÷ 3                                                                                                  ⇒ x = 12 {36 ÷ 3 = 12}

Now, we have the value for x. We know that the two numbers were 2x and 5x respectively. So, the first number (we don't have to calculate as per the question but I'll still do ;p) is 2(12) = 24 and, the second number (which is to be found as per the question) is 5(12) = 60.

Therefore, the second number is 60.