Question

Уменьшаемое увеличили на 9,2 а вычитаемое уменьшили на 4,5.В результате разность стала равной 36,7.На сколько вычитаемое было меньше уменьшаемого

Answer 1

Пусть уменьшаемое равно х, а вычитаемое равно у.
После увеличения уменьшаемое стало равно (х + 9,2).
После уменьшения вычитаемое стало равным (у - 4,5).


Новая разность равна 36,7


Найти бывшую разность х - у.

Уравнение:

(х + 9,2) - (у - 4,5) = 36,7


х + 9,2 - у + 4,5 = 36,7

х - у = 36,7 - 9,2 - 4,5

х - у = 23

Answer 2

Calculation of the Difference

To find the difference between the minuend and the subtrahend, we can use the formula:

Difference = Minuend - Subtrahend

In this case, the minuend (the number from which we subtract) was increased by 9.2, and the subtrahend (the number being subtracted) was decreased by 4.5. The resulting difference is 36.7.

Let's denote the minuend as M and the subtrahend as S. According to the given information, we have the following equations:

M + 9.2 - (S - 4.5) = 36.7

Simplifying the equation, we get:

M + 9.2 - S + 4.5 = 36.7

Combining like terms, we have:

M - S + 13.7 = 36.7

Subtracting 13.7 from both sides of the equation, we get:

M - S = 23

Therefore, the subtrahend was 23 units smaller than the minuend.