Math Word Problems Solutions Grade 7

Published on September 18, 2026

Word-Problem

Step-by-step solutions for seventh-grade math problems covering ratios, fractions, time-distance, and currency calculations.

Question

somadhan dao

Answer

The image contains several mathematical problems in Bengali. I will provide solutions for each of them.

1) Two positive numbers have a quotient of and a product of . What are the numbers?

Let the two numbers be

and

.
Given:

— (i)

— (ii)

From (i),

. Substitute this into (ii):

Now, find

Answer: The numbers are and .

2) In an exam, Maya and Chaya received and of the total marks respectively. If Maya got 20 marks more than Chaya, what are the total marks and how many marks did each get?

Let the total marks be

.
Maya’s marks

Chaya’s marks

Given:

Maya’s marks

Chaya’s marks

Answer: Total marks = 600; Maya = 500, Chaya = 480.

3) If the ratio of a fraction and is equal to the ratio of and , find the fraction.

Let the fraction be

Answer: The fraction is .

4) A earns 40 Taka in 7 days and B earns 90 Taka in 12 days. What is the ratio of their earnings?

Daily earning of A

Daily earning of B

Ratio of earnings (A : B)

Answer: The ratio is .

5) If and , then what is ?

Given

and

.
Since the value of

is common in both ratios (it is 3), we can directly combine them:

Therefore,

Answer: .

6) The ratio of the number of 25 paisa, 50 paisa, and 1 Taka coins in a bag is . The total value of the coins is 100 Taka. Find the number of each type of coin.

Let the number of 25 paisa, 50 paisa, and 1 Taka coins be

and

respectively.
Convert all values to Taka:
Value of 25 paisa coins

Value of 50 paisa coins

Value of 1 Taka coins

Total value

Number of coins:
25 paisa

50 paisa

1 Taka

Answer: 25 paisa = 80, 50 paisa = 64, 1 Taka = 48.

7) The ratio of the daily wages of two workers is and one earns 9 Taka more than the other. Find their daily wages.

Let the wages be

and

.
Given:

Wages:
Worker 1

Taka
Worker 2

Taka

Answer: The wages are 36 Taka and 27 Taka.

8) Train X starts from a station at 50 km/h. Train Y starts from the same station one hour later at 70 km/h in the same direction. After how many hours will Train Y overtake Train X?

Let

be the time (in hours) after Train Y starts.
Distance covered by Train X in

hours

Distance covered by Train Y in

hours

When Y overtakes X, distances are equal:

hours

Answer: Train Y will overtake Train X after 2.5 hours.

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Math Word Problems Solutions Grade 7

Question

Answer

1) Two positive numbers have a quotient of and a product of . What are the numbers?

2) In an exam, Maya and Chaya received and of the total marks respectively. If Maya got 20 marks more than Chaya, what are the total marks and how many marks did each get?

3) If the ratio of a fraction and is equal to the ratio of and , find the fraction.

4) A earns 40 Taka in 7 days and B earns 90 Taka in 12 days. What is the ratio of their earnings?

5) If and , then what is ?

6) The ratio of the number of 25 paisa, 50 paisa, and 1 Taka coins in a bag is . The total value of the coins is 100 Taka. Find the number of each type of coin.

7) The ratio of the daily wages of two workers is and one earns 9 Taka more than the other. Find their daily wages.

8) Train X starts from a station at 50 km/h. Train Y starts from the same station one hour later at 70 km/h in the same direction. After how many hours will Train Y overtake Train X?

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