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Tìm hai số khi biết hiệu và tỉ số của hai số đó - Toán 5

1. Tìm hai số khi biết hiệu và tỉ số của hai số đó

Ví dụ 1. Hiệu của 2 số là 150. Tỉ số của hai số đó là \(\frac{4}{9}\). Tìm hai số đó.
Bài giải
Theo đề bài ta có sơ đồ:
Hiệu số phần bằng nhau là:
9 - 4 = 5 (phần)
Số bé là:
150 : 5 x 4 = 120
Số lớn là:
150 + 120 = 270
Đáp số: Số bé: 120 ; Số lớn: 270
 
Ví dụ 2꧋: Một trang trại có số dê gấp 5 lần số cừu. Biết rằng số dê nhiều hơn số cừu là 120 con. Hỏi trang trại đó có bao nhiêu con dê, bao nhiêu con cừu?
Bài giải Theo đề bài ta có sơ đồ:

Theo sơ đồ, hiệu số phần bằng nhau là: 5 – 1 = 4 (phần) Giá trị của một phần hay số con cừu là: 120 : 4 = 30 (con) Số con dê là: 30 × 5 = 150 (con) Đáp số: 30 con dê, 150 con cừu.

Phương pháp giải:

Bước 1: Vẽ sơ đồ

Bước 2: Tìm hiệu số phần bằng nhau

Bước 3: Tìm số bé và số lớn

            Số bé = Hiệu : hiệu số phần bằng nhau x số phần của số bé

            Số lớn = Số bé + hiệu hai số

Bước 4: Kết luận, đáp số

2. Bài tập vận dụng

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