The sum if the digits of a two digit number is 8. The digit in the units place is 1 more than 6 times the digit in the tens place . Find the number. PLEASE SOLVE
Answers
Answered by
6
Step-by-step explanation:
given:10x+y
x+y=8
y=6x+1
x+6x+1=8
7x+1=8
7=7x
x=1
so, y=6(1)+1
y=7
so the number is 17
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Answered by
5
Given :
- The sum if the digits of a two digit number is 8. The digit in the units place is 1 more than 6 times the digit in the tens place
To Find :
- The number
Solution :
Let the number in one's digit be " x "
Number in ten's digit be " y "
So , the number = 10 y + x
A/c , " The sum if the digits of a two digit number is 8 "
⇒ x + y = 8 ... (1)
A/c , " The digit in the units place is 1 more than 6 times the digit in the tens place "
⇒ x = 1 + 6y
⇒ x - 6y = 1 ... (2)
Now , solving (1) - (2) , we get ,
⇒ ( x + y ) - ( x - 6y ) = 8 - 1
⇒ 7y = 7
⇒ y = 1
sub. y value in (1) , we get ,
⇒ x = 8 - y = 8 - 1
⇒ x = 7
So , the number = 10y + x = 10(1)+7 = 17
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