Explanation

Initial situation: 200 men have enough food for 60 days.

Reduced situation: 160 men (40 fewer men than initially).

Since there are fewer men, the food will last longer. To find out how long, we can set up a proportion:

200 men / 160 men = 60 days / x days

Where x is the number of days the food will last with 160 men.

Cross-multiplying and solving for x:

200x = 60 × 160

200x = 9600

x = 9600 ÷ 200

x = 75

So, the food will last 75 days if the number of men in the camp is reduced to 160.

Explanation

4x + 13 = 7 - 2x

Add 2x to both sides:

4x + 2x + 13 = 7

Combine like terms:

6x + 13 = 7

Subtract 13 from both sides:

6x = -6

Divide both sides by 6:

x = -6/6

x = -1

Explanation

8×2=8+2+82=10+4= 14

Explanation

In the figure, MN is the length of the ladder, which is placed against the wall AB and makes an angle of ${60}^{\circ }$ with the ground.
The foot of the ladder is at N, which is 2m away from the wall.
$\therefore BN=2m$
In right-angled triangle MNB :
$cos{60}^{\circ }=\frac{BN}{MN}=\frac{2m}{MN}$
$\Rightarrow \frac{1}{2}=\frac{2m}{MN}$
$\Rightarrow MN=4m$
Therefore, the length of the ladder is 4m.

Explanation

One trillion equals a thousand billion or million millions

1 trillion consists of 1 followed by 12 zeros,

that is, 1, 000, 000,000, 000

and can be written as (10^{12} ) 

 It takes about 32,000 years to finish 1 trillion seconds.

ND28-4-2023

Explanation

 2/3=x/12

Use cross multiply

2*12=3*x

24=3x

Divided both side by 3

24/3=3x/3

x=8

Explanation

Area of a square = side × side = 8 × 8 = 64 m²

Explanation

12 men=15women

1man=(15/12)=(5/4) women

7 men=35/4 women

(35/4+5 )=55/4

15 women=14 days

55/4 women=(15*14*4)/55= 168/11 days

Explanation

According to question, Or, (2A/3)=(75B/100)=(C × 6/10); A × 2/3= B × 3/4;

⇒ A/B= 9/8; And, B × 3/4= C × 3/5;

⇒ B/C= 8 : 10; Thus, A : B : C= 9 : 8 : 10.

Explanation

Solution

|x+3|+21=9 

 |x+3|=9-21

 |x+3|= -12

x = -12-3

x=-15