Advertisements
Advertisements
प्रश्न
Sum of the digits of a two-digit number is 11. The given number is less than the number obtained by interchanging the digits by 9. Find the number.
उत्तर
Let the unit’s digit be x.
Then, the ten’s digit = 11 – x
∴ Number = 10(11 – x) + x
= 110 – 10x + x
= 110 – 9x
Number obtained by interchanging the digits
= 10x + (11 – x)
= 9x + 11
According to the question,
9x + 11 – (110 – 9x) = 9
⇒ 9x + 11 – 110 + 9x = 9
⇒ 18x = 9 – 11 + 110
⇒ 18x = 108
⇒ x = `108/18`
⇒ x = 6
Hence, unit’s digit = 6 and ten’s digit = 11 – 6 = 5
Therefore, the required number is 56.
APPEARS IN
संबंधित प्रश्न
A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers?
Sum of the digits of a two digit number is 9. When we interchange the digits it is found that the resulting new number is greater than the original number by 27. What is the two-digit number?
One of the two digits of a two digit number is three times the other digit. If you interchange the digit of this two-digit number and add the resulting number to the original number, you get 88. What is the original number?
Shobo’s mother’s present age is six times Shobo’s present age. Shobo’s age five years from now will be one third of this mother’s present age. What are their present ages?
There is a narrow rectangular plot, reserved for a school, in Mahuli village. The length and breadth of the plot are in the ratio 11:4. At the rate Rs 100 per metre it will cost the village panchayat Rs 75, 000 to fence the plot. What are the dimensions of the plot?
A grandfather is ten times older than his granddaughter. He is also 54 years older than her. Find their present ages
Aman’s age is three times his son’s age. Ten years ago he was five times his son’s age. Find their present ages.
Arjun is twice as old as Shriya. Five years ago his age was three times Shriya’s age. Find their present ages.
After 12 years, Kanwar shall be 3 times as old as he was 4 years ago. Find his present age.
