Arithmetic Crossword Puzzle

MathematicsLogic and Arithmetic PuzzlesHard

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The image displays an arithmetic grid puzzle. The goal is to place the numbers provided in the bottom bank into the empty cells of the grid such that all horizontal and vertical equations formed by the operators and symbols are mathematically correct. The grid includes constants such as 50, 3, 41, 30, and 37 at specific positions. The numbers available to be placed are: 2, 18, 24, 2, 20, 26, 30, 4, 7, 4, 25, 11, 36, 21, 21, 29, 42, 18, 1, 2, 18, 24, 1, 13, 1, 26.

This question includes visual content: A grid-based arithmetic puzzle displayed on a screen. The grid contains empty squares (which are the variables), operators (+, -, *, /), equals signs (=), and some fixed numbers (50, 3, 41, 30, 37). The puzzle consists of interconnected horizontal and vertical equations. Below the grid, there is a selection box containing various numbers (e.g., 2, 18, 24, 4, 7, 25, 11, etc.) that the user must drag into the empty grid slots to balance all the equations.

Animated Video Solution

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Step by Step Written Solution

1
Step 1

Hai Daniel, mari kita selesaikan teka-teki operasi hitung ini langkah demi langkah.

Menyusun Angka pada Teka-teki Operasi

Kita akan memakai persamaan horizontal dan vertikal untuk menentukan angka yang tepat.

2
Step 2

Perhatikan bagian kanan bawah. Kita bisa membaca satu persamaan horizontal yang hasilnya empat puluh satu.

$$a+b=41$$
3
Step 3

Di bawahnya ada persamaan lain yang hasilnya tiga puluh tujuh.

$$c+d=37$$
4
Step 4

Karena pilihan angka tersedia cukup terbatas, kita cari pasangan yang paling masuk akal. Empat puluh satu dapat dibentuk dari dua puluh dan dua puluh satu.

JumlahPasangan
4120 dan 21
3718 dan 19
5
Step 5

Tetapi angka sembilan belas tidak tersedia pada daftar, sehingga tiga puluh tujuh lebih cocok dibentuk oleh tiga puluh enam dan satu.

$$36+1=37$$
6
Step 6

Sekarang kita pindah ke bagian tengah bawah yang melibatkan angka tiga.

Analisis Bagian Tengah

$$x- y =3$$
7
Step 7

Dari pilihan angka yang tersedia, selisih tiga paling mudah diperoleh dari dua puluh empat dikurangi dua puluh satu.

$$24-21=3$$
8
Step 8

Kita simpan hasil ini sebagai kandidat kuat untuk mengisi bagian tengah.

9
Step 9

Di sisi kiri bawah terlihat persamaan vertikal dengan angka lima puluh.

$$50-z=w$$

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About This Question

Subject
Mathematics
Topic
Logic and Arithmetic Puzzles
Difficulty
Hard

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