Question

of the total number of soldiers in our army, 4/9 Are posted on the northern border and one-third of them on the north-eastern border. if the number of soldiers in the north is 540000,how many are posted in the north-east?

Answer 1

Answer:

Step-by-step explanation:No of soldiers posted on the northern border = 4/9

No of soldiers posted on the northeastern border = 1/3

Total no of soldiers = 5400000

No of soldiers posted in the north east = 1/3 of 540000

= 1/3× 540000 = 180000. This is the correct answer.

Answer 2

Answer:

Total  405000 soldiers are posted in the north-east.

Step-by-step explanation:

• Let x be the total number of soldiers in our army.

• 4/9 of total number are posted on the northern border ,

• Hence, $\frac{4}{9}$ of x = $\frac{4x}{9}$ are posted on the northern border.

• 1/3 of total number are posted on the north-eastern border ,

• Hence, $\frac{1}{3}$ of x = $\frac{x}{3}$ are posted on the north-eastern border.

• According to the given problem, the number of soldiers in the north is 540000,

hence , we can write, $\frac{4x}{9}$  = 540000

⇒ 4x = 9 × 540000

⇒ x = $\frac{9}{4}$ × 540000

⇒ x = 1,215,000

• So, total number of soliders = 1215000

• 1/3 of total number are posted on the north-eastern border ,

• so, number of soldiers  posted on the north-eastern border are :

• $\frac{1}{3}$ of x =  $\frac{1}{3}$ of 1215000 = 1215000/3 = 405000.

405000 soldiers are posted in the north-east.