Subtracted reduced by 262. How should the subtracted be changed so that a) the difference remains unchanged?

Subtracted reduced by 262. How should the subtracted be changed so that a) the difference remains unchanged? b) the difference has decreased by 74? c) the difference increased by 35?

Let’s write down the action of subtraction: y – b = p (difference). Subtracted в1 = в – 262. Then:

a) p1 = p, y1 =?; y = b + p; y1 = p1 + b1 = p + b1 = p + b – 262 = y – 262, that is, decrease by 262.

b) p1 = p – 74, y1 = b1 + p1 = b – 262 + p – 74 = (b + p) – 336 = y – 336. The diminished must be reduced by 336.

c) p1 = p + 35.y1 = b1 + p1 = b – 262 + p + 35 = (b + p) – 297 = y – 297. That is, the decrease decreased by 297.

That is, taking into account that y – 262 = b1 + p1, that is, the decrease has decreased by 262.



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