Explanation

Given:

4x − 2y = 10 ...(1)

2x + y = 5 ...(2)

Multiply equation (2) by 2:

4x + 2y = 10 ...(3)

Add equations (1) and (3):

8x = 20

x = 20 ÷ 8

x = 2.5

Last verified on 09-10-2026

Explanation

Let the present age of the son = x years.

Present age of the father = 45 − x years.

5 years ago:

Father's age = 40 − x

Son's age = x − 5

According to the question:

40 − x = 6(x − 5)

40 − x = 6x − 30

70 = 7x

x = 10

Son's present age = 10 years.

Father's present age = 45 − 10 = 35 years.

Last verified on 08-10-2026

Explanation

A regular hexagon has 6 equal sides.

Perimeter = 6 × side = 6 × 7 = 42 cm.

Last verified on 07-10-2026

Explanation

The sum of the interior angles of a polygon can be calculated using the formula:

(n-2) × 180°, where n is the number of sides.

For a hexagon, n = 6.

Sum of interior angles = (6-2) × 180°

= 4 × 180°

= 720°

Last verified on 07-10-2026

Explanation

• An acute angle measures more than 0° but less than 90°.
• Since 60° is less than 90°, it is an acute angle.

Additional information:

• A right angle measures exactly 90°.
• An obtuse angle measures more than 90° but less than 180°.

Last verified on 07-10-2026

Explanation

Increase = 75.50 − 65.50 = 10.00

Percentage increase = (10 ÷ 65.50) × 100 = 15.27%.

Last verified on 05-10-2026

Explanation

Total students = 345 + 255 = 600

Ratio = 345 : 600

Divide by 15 → 23 : 40.

Last verified on 05-10-2026

Explanation

√64 = 8

8 + 3 = 11.

Last verified on 05-10-2026

Explanation

Girls : Boys = 240 : 360

Divide by 120

= 2 : 3

Last verified on 04-10-2026

Explanation

Circumference = πd = 3.14 × 5.3 ≈ 16.64 cm.

Depth = 6 m = 600 cm.

Number of turns = 600 ÷ 16.64 ≈ 36 turns.

Last verified on 04-10-2026