The one digit of a two digit number is thrice the ten digit.If the digit are interchanged, the new number become 1o more than twice the old number. Find the number.
Answers
Answer:
26
Step-by-step explanation:
Let ten's digit be x.
Hence, one's digit be 3x.
Number is:
10*x + 3x= 10x + 3x
= 13x
By reversing number:
10*3x + x= 30x + x
= 31x
31x = 10 + 2*13x
31x = 10 + 26x
31x - 26x = 10
5x = 10
x = 10/5
x = 2
3x = 2*3 = 6
Number is 26.
Answer:
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so here we go
Step-by-step explanation:
let the two digit number number be 10x+y
wherein digit at tens place is x and that of
ones is y
so according to first condition
y=3x (1)
according to second criterion
10y+x=10+2(10x+y)
ie 10y+x=10+20x+2y
so 19x-8y=-10 (2)
substitute value of y from (1) in (2)
we get
19x-24x=-10
so -5x=-10
ie x=2
so substitute value of x in any of two equations
we get y=6
so our required two digit number was
10x+y
=(10×2)+6
=20+6
=26
hence required two digit number is 26