2. The sum of the digits of a two digit number is 7
If the digits are reversed, the number is reduced
by 27. Find the number,
Answers
AnswEr :
25.
The sum of the digits of a two digit number is 7. If the digits are reversed, the number is reduced by 27.
The number.
Let the ten's place be R
Let the one's place be M
&
Putting the value of M in equation (1), we get;
Answer:
25
Step-by-step explanation:
Given:
Sum of digits of two digit number is 7,
After reversing digits the number is reduced by 27
To Find:
Solution:
1)Let the tens digit no. be X
2)Let unit digit of the number be y
→ x + y = 7......(1)
According to question,
→ The two digit number is 10x + y and after reversing it's digit the number becomes 10y +x
Therefore equation becomes,
⟹ 10y + x = 10x + y + 27
⟹ 10y – y = 10x – x + 27⟹ 9y = 9x + 27
⟹ 9y – 9x = 27
⟹ 9 ( y – x) = 27
⟹ y – x = 27/9 = 3
⟹ y = 3 + x
Putting y = 3 + x in equation 1
⟹ x + 3+ x = 7
⟹ 2x = 7 – 3
⟹ 2x = 4
⟹ x = 2
Therefore "y" will be,
⟹ y = 2 + 3 = 5
Hence, The two digit number is 25