Explanation

Let's denote the two integers as x and y, where x > y:

Given x - y = 3 and x² + y² = 89.

From x - y = 3, we get x = y + 3.

Substitute x in the second equation:

(y + 3)² + y² = 89

y² + 6y + 9 + y² = 89

2y² + 6y - 80 = 0

y² + 3y - 40 = 0

(y + 8)(y - 5) = 0

y = -8 (not possible since y is positive) or y = 5.

If y = 5, then x = y + 3 = 8.

Check: 8² + 5² = 64 + 25 = 89.

The integers are 8 and 5.

Explanation

An angle less than 90° is called an acute angle.

Exactly 90°: Right angle

Between 90° and 180°: Obtuse angle

Exactly 180°: Straight angle

More than 180° and less than 360°: Reflex angle

Explanation

In Maths, a straight angle is an angle equal to 180°.

It is called straight because it appears as a straight line.

Explanation

The largest 4-digit number is 9999.

Dividing 9999 by 88 gives: 9999 ÷ 88 = 113.625 → Integer part = 113

113 × 88 = 9944, which is the largest 4-digit number divisible by 88.

Explanation

To find the percentage, divide 25 by 75 and multiply by 100:

25 ÷ 75 = 0.33

0.33 × 100 = 33%

 Last updated on 12 NOV 2026

Explanation

Given:

- 4 weavers weave 4 mats in 4 days  

- So, each weaver weaves 1 mat in 4 days

Now, you have 8 weavers working at the same rate.

If 1 weaver weaves 1 mat in 4 days, then:

- 8 weavers will weave 8 mats in 4 days

Explanation

The student fails by 22 marks, meaning the passing marks are:

178 + 22 = 200

Since 40% marks are required to pass:

40% of Total Marks = 200

Solving for Total Marks:

Total Marks = (200 × 100) ÷ 40 = 500

 Last updated on 12 NOV 2026

Explanation

Given:

Cost Price (CP) = Rs. 8,000

Selling Price (SP) = Rs. 7,000

Loss = CP − SP

= 8,000 − 7,000

= Rs. 1,000

Explanation

- Profit = 10% of selling price = 0.10x

- Cost Price = Rs 2

Now use the relation:  

Cost Price = Selling Price – Profit  

⇒ 2 = x – 0.10x  

⇒ 2 = 0.90x  

⇒ x = 2 / 0.90 = 2.22

Explanation

25% of 200 is calculated by

Multiplying 200 by 25/100,

Which equals 50.

 Last updated on 12 NOV 2026