CBSE Class 10 Answered
A number consists of two digits whose sum is 7. If 45is added to the number, the digits are reversed.Find the number
Asked by daskousik2004 | 21 Aug, 2020, 22:35: PM
Expert Answer
Let the two digit number be 10x+y.
A number consists of two digits whose sum is 7.
x + y = 7 → y = 7 - x
→ The two digit number 10x+y = 10x + 7 - x = 9x + 7
According to the condition, we get
9x + 7 + 45 = 10(7-x) + x
→ 9x + 52 = 70 - 9x
→ 18x = 18 → x = 1
y = 7 - 1 = 6
So, the required two digit number = 9(1) + 7 = 16
Answered by Yasmeen Khan | 22 Aug, 2020, 23:05: PM
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