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ICSE Class 8 Answered

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.
Asked by sadhanayadav3021 | 25 Jun, 2019, 06:41: PM
answered-by-expert 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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