# 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, 10:35: 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, 11:05: PM

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