Question

the ratio to the digits of a three digit number is 2 ratio 3 ratio 4 on adding 198 to the number the digits are reversed find the number

Answer 1

The ratio to the digits of a three digit number is 2 ratio 3 ratio 4

let the hundred digit be 2x ,tens digit be 3x and ones digit be 4x

∴the nos is 100*2x+10*3x+1*4x  [multiplying the digits with their plase value

⇒200x+30x+4x⇒ 234x

now reversing the digits we get the new nos =100*4x+10*3x+1*2x

⇒400x+30x+2x⇒ 432x

ATP

on adding 198 to the number 234x the digits are reversed

∴234x+198 =432x

⇒198 = 432x-234x ⇒198 =198x

or x=1

⇒2x =2*1=2,=hundred digit

⇒ 3x =3*1=3=tens digit

⇒ 4x=4*1=4ones digit

∴the number is 234 ANS

Answer 2

Answer:

3 digit number is 234.

Step-by-step explanation:

234