Verified answer

Answer:

The number is 156.

Step-by-step explanation:

Let the number be x.

Given,

x/3+x/4+x/2 = 169

LCM of denominators 3,4,2 is 12.

4x/12+3x/12+6x/12 = 169

13x/12 = 169

x = 169 * 12/13

x = 13*12

x = 156

Answer:

The number is 156.

Step-by-step explanation:

[tex]\frac{1}{3}x + \frac{1}{4}x + \frac{1}{2} x = 169\\LCM of denominators = 12.\\\frac{4}{12}x + \frac{3}{12}x + \frac{6}{12} x = 169\\\frac{13}{12}x = 169\\x = \frac{169 * 12}{13} \\x = 156\\[/tex]

Hence, the required number is 156.