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ICSE Class 8 Answered

The sum of the digits of a 2 digit number is 9. The number is 6 times the units digit. Find the number.
Asked by uumarr1234 | 18 Jun, 2019, 04:05: PM
answered-by-expert Expert Answer
 
 
Let x be the digit at the ten's place then (9 - x) will be the digit at the unit place.
 
→ the two digit number = 10x + 9 - x = 9x + 9 
 
According to the conditions in the questions, we get
 
9x + 9 = 6(9 - x)
→ 9x + 9 = 54 - 6x
→ 15x = 45
→ x = 3  .... digit at the ten's place
 
9 - x = 9 - 3 = 3  ...digit at the unit place 
 
→ the two digit number = 9x + 9 = 9(3) + 9 = 36
Answered by Yasmeen Khan | 18 Jun, 2019, 04:39: PM

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