sum of the digits of a two number is 14 when we interchange the digits it is found that the resulting new number is greater than the original by 36 find the number
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Answer:
the original no. = 59
Step-by-step explanation:
let the units digit be x
Therefore, tens digit = 10(14–x)
orginal no. = 140- 10x + x
= 140-9x
ATP,
when the digits are interchanged,
the new number formed= 10x + 14-x
= 9x + 14
but the new number formed is greater than the original no. by 36
=> (9x-14) - (140-9x)=36
=>18x-126=36
=>18x=36+126=162
x= 162/18 = 9
thus, the original no. is 59
hope this helped
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