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Updated: May 12, 2025


Consequently the four were equal to the fifteen, and therefore 4x = 15y. Consequently x/y = 15/4. This equation does not give us the value of the unknown factor but gives us a ratio between two unknowns. The tactical rule that an army should act in masses when attacking, and in smaller groups in retreat, unconsciously confirms the truth that the strength of an army depends on its spirit.

"Just as soon as I get them two hundred three-year-olds." "Well, I hate a quitter; but I can't do nothing, nohow," mused the 4X foreman. He cleared his throat and turned to look at the house. "All right; when you get them cows you get out of here, an' don't never come back!"

The 4X has strung three strands of barb wire from Coyote Pass to the North Arm. Thirty mile long, without a gate, so they says." "But it don't close this trail!" cried Hopalong in blank astonishment. "It shore does. They say they owns that range an' can fence it in all they wants. I told 'em different, but naturally they didn't listen to me. An' they'll fight about it, too."

"That's awful!" he cried, stopping his limping horse near Hopalong. "An' here come the fools that done it." "Yes," replied Johnny, his voice breaking from rage, "but they won't go back again! I don't care if I'm killed if I can get one or two of that crowd " "Shut up, Kid!" snapped Hopalong as the 4X outfit drew near. "I know just how you feel about it; feel that way myself.

The noise in the bunk house continued and finally a sombrero was waved frantically at the south window and a moment later Nat Boggs, foreman of the incarcerated 4X outfit, stuck his head out very cautiously and yelled questions which bore directly on the situation and were to the point. He appeared to be excited and unduly heated, if one might judge from his words and voice.

The cook had embraced this opportunity to lay in a good supply of firewood and was the happiest man in the outfit. At ten o'clock that night eight figures loped westward along the southern fence and three hours later dismounted near the first corral of the 4X ranch. They put their horses in a depression on the plain and then hastened to seek cover, being careful to make no noise.

Cranky Joe led the 4X contingent and he did the talking for it without waste of time. "Who the hell busted that fence?" he demanded, belligerently, looking around savagely. Johnny's hand twitched at the words and the way they were spoken. "I did; did you think somebody leaned agin it?" replied Hopalong, very calmly, so calmly that it was about one step short of an explosion.

There was no further action until the sun arose and then Hopalong hailed the house and demanded a parley, and soon he and Boggs met midway between the shack and the line. "What d'you want?" asked Boggs, sullenly. "Want you to stop this farce so I can go on with my drive." "Well, I ain't holding you!" exploded the 4X foreman. "Oh, yes; but you are.

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