Question

an integer greater than 100 has its unit digit twice that of its ten digit. The hundreds digit is 25 percent of the ten digit. If the sum of all the digit is 13 ,what is the value of the integer?​

Answer 1

Answer:

148 is the value of integer .

Step-by-step explanation:

Let the ten digit : X

So , unit digit : 2X ( as unit digit is twice ten digit)

Hundred digit : X/4 ( as hundred digit is 25% of ten digit = 25/100×X = 1/4X = X/4 )

X/4 + X + 2X = 13 ( as sum of all digits is 13 )

Take LCM = 4

X + 4X +8X

__________ = 13

4

13X/4 = 13

By transposing LHS to RHS

X = 13×4

____

13

X = 4

So , unit digit = 2X = 2×4 = 8

Ten digit = X= 4

Hundred digit = 25% × X = 1

So , answer is 148 .