Question

it is larger than half of 50
it is more than 3 tens and less than 4 tens
the tens digit is 3 less than the ones digit
together the digit have a sum of 9​

Answer 1

Answer:

36

Step-by-step explanation:

Let tens place digit be x and ones place digit be y

so acc to ques

x+y = 9

y-x = 3

Now equating these two equations we get

x=3,y=6

so the number is 36 ( more than 30 less than 40)

Answer 2

Given: it is larger than half of 50 , it is more than 3 tens and less than 4 tens , the tens digit is 3 less than the ones digit , together the digit have a sum of 9​.

To find: the number.

Solution:

Know that, from the question,

it is larger than half of 50, i.e., the number is greater than 25 and less than 50.

it is more than 3 tens and less than 4 tens , i.e., the number must be one of the numbers between $30-40$.

Let tens place digit be x and ones place digit be y.

Observe that from the question, the tens digit is 3 less than the ones digit  together the digit has a sum of 9​.

$x+y = 9$------(1)

$y-x = 3$------(2)

Solve equation (1) and (2).

$\[\begin{array}{l}\,\,\,\,\,\,\,\,\,\,\,\,\,x + y = 9\\\underline {\left( + \right)\,\, - x + y = 3} \\\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,2y = 12\\ \Rightarrow y = 6\end{array}\]$

$\[\begin{array}{l}x + y = 9\\ \Rightarrow x + 6 = 9\\ \Rightarrow x = 9 - 6\\ \Rightarrow x = 3\end{array}\]$

Therefore, the number is 36.