Question

A number consists of two digits.The digit at the units place is 1 more than 3 times the digit at the tens place.If 45 is added to the number,the digits are reversed. Find the number.

Answer 1

Step-by-step explanation:

Original number

tens digit = x then ones digit = 3x

value of 10 s digit = 10x

value of 1s digit = 3x

Reversed Number

10s digit= 3x and 1s digit = x

value of 10s digit = 30x

value of 1s digit= x

Relation between them

13x+ 36= 31x

36= 31x-13x

36x = 18x

x = 2

Therefore ,

original number = 13x = 13 × 2 = 26

reversed Number = 62

I hope this will help you !!!!

Thanks !!!

Answer 2

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Original number

tens digit = x then ones digit = 3x

• value of 10 s digit = 10x
• value of 1s digit = 3x

Reversed Number

10s digit= 3x and 1s digit = x

value of 10s digit = 30x

value of 1s digit= x

.

.

.

Relation between them

13x+ 36= 31x

36= 31x-13x

36x = 18x

x= 2

.

.

.

Therefore,

original number = 13x = 13 x 2 = 26

reverse Number = 62

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