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The sum of two digits of a 2-digit number is 14.if the number formed by reversing the digit is less than the original number by 18.find the original number. Expert Answer

Let x be the digit at the ten's place and y be the digit at the unit place.
→ Two digit number = 10x + y

According to the first condition, we get
x + y = 14   .... (1)

According to the second condition, we get
10y + x = 10x + y - 18
→ 9x - 9y = 18
→  x - y = 2   .... (2)

Adding (1) and (2), we get

2x = 16
→ x = 8

Put x = 8 in (1), we get

8 + y = 14
→ y = 6

→ The two digit number = 10x + y = 10 × 8 + 6 = 80 + 6 = 86
Answered by Yasmeen Khan | 26 Jun, 2019, 10:38: AM
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