Tìm X, biết: X x 58 + 42 x X = 1567 + 143
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(100+42) x42+(200-58)x58
=142x42+142x58
=142x(42+58)
=142x100
=14200
\(\left(100+42\right)\times42+\left(200-58\right)\times58\)
\(=142\times42+142\times58\)
\(=142\times\left(42+58\right)\)
\(=142\times100=14200\)
`@` `\text {Ans}`
`\downarrow`
`2023 \times 14 + 2023 \times 83+97`
`= 2023 \times (14+83) + 97`
`= 2023 \times 97 + 97`
`= 196231 +97`
`= 196328`
`78 \times 31+78 \times 24+78 \times 17+78 \times 22 \times 72`
`= 78 \times (31+24+17+22 \times 72)`
`= 78 \times (31+24+17+1584)`
`= 78 \times 1656`
`= 129168`
`371 \times 69+371 \times 14+629 \times 83`
`= 371 \times (69+14) + 629 \times 83`
`= 371 \times 83 + 629 \times 83`
`= 83 \times (371+629)`
`= 83 \times 1000`
`= 83000`
`91 \times 51+49 \times 163-49 \times 72`
`= 91 \times 51 + 49 \times (163-72)`
`= 91 \times 51+49 \times 91`
`= 91 \times (51+49)`
`= 91 \times 100`
`= 9100`
`3 \times 12 \times 17 + 4 \times 9 \times 81 + 2 \times 6 \times 6`
`= 9 \times 4 \times 17 + 4 \times 9 \times 81 + 4 \times 9 \times 2`
`= 9 \times 4 \times (17+81+2)`
`= 36 \times 100`
`= 3600`
`42 \times 17 + 58 \times 83 \times 42 \times 83 + 42 \times 83 + 17`
`= 17 \times (42+58) + 42 \times 83 \times (58 \times 83 +1)`
`= 17 \times 100 + 3486 \times 4815`
`= 1700 + 16785090`
`= 16786790`
`(x+1) + (x+2) + ... + (x+100) = 5750`
Số số ngoặc trong phép tính là:
`(100 - 1) : 1 + 1 = 100` (ngoặc)
`=> 100x + (1+2+3+...+100) = 5750`
`=> 100x + ((100 + 1) . 100 : 2) = 5750`
`=> 100x + 5050 = 5750`
`=> 100x = 200`
`=> x = 2`
`(x+1) . (2y-5) = 143`
`=> (2y-5) ∈ Ư(143)`
mà `2y-5 lẻ`
`=> 2y-5 ∈ {-1;-11;1;11} => y = {2;-3;3;8}`
mà `y ∈ N => y = {2;3;8}`
`=> x+1 ∈ {-143;143;13}`
`=> x ∈ {-144;142;12}`
mà `x ∈ N => x ∈ {142;12}`
Vậy `(x;y) = (142;3);(12;8)`
(Chúc bạn học tốt)
(100 + 42 ) x 42 + ( 200 - 58 ) x 58
= 142 x 42 + 142 x 58
= 142 x ( 42 + 58 )
= 142 x 100
= 14200
( 100 + 42 ) x 42 + ( 200 - 58 ) x 58
= 142 x 42 + 142 x 58
= 142 x ( 42 + 58 )
= 142 x 100
= 14200
\(\left(100+58\right)\times58+\left(200-42\right)\times12\)
\(=158\times58+158\times12\)
\(=158\times\left(58+12\right)\)
\(=158\times70=11060\)
\(128\times72+14\times256\)
\(=128\times72+14\times2\times128\)
\(=128\times\left(72+28\right)\)
\(=128\times100=12800\)
a) 13 x ( x +1 ) =143
x+1= 143 : 13
x+1= 11
x= 11-1
x= 10
b) ( x - 2 ) : 7 = 12
x-2= 12 x 7
x-2=84
x=84+2
x=86
c) 120 : ( x - 3 )= 8
x-3=120:8
x-3=15
x=15+3
x=18
\(=3,6\times123+3,6\times1567+3,6\times8310\)
\(=3,6\times\left(123+1567+8310\right)\)
\(=3,6\times10000\)
\(=36000\)
Chọn B