Question

Three numbers are in the ratio of 4:5:6. If the sum of the largest and the smallest equals
the sum of the third and 55. find the numbers.
10 be added to four times a certain number, the result is 5 less than five times the​

Answer 1

Question-1).

Three numbers are in the ratio of 4:5:6. If the sum of the largest and the smallest equals the sum of the third and 55. find the numbers.

Answer:

• Three numbers are 44, 55 and 66.

Step-by-step explanation:

Given:

• Three numbers are in ratio 4:5:6.
• Sum of largest and smallest is equal to sum of middle one and 55.

To find:

• Find the Number.

Let the numbers be 4x, 5x and 6x.

Now, according to question,

⇒ 4x + 6x = 5x + 55

⇒ 10x = 5x + 55

⇒ 10x - 5x = 55

⇒ 5x = 55

⇒ x = 55/5

⇒ x = 11

So, numbers are:

• 4x = 4 × 11 = 44
• 5x = 5 × 11 = 55
• 6x = 6 × 11 = 66

Verification:

⇒ 44 + 66 = 55 + 55

⇒ 110 = 110

Hence Proved!!!

$\rule{150}{1}$

Question-2).

If 10 be added to four times a certain number, the result is 5 less than five times the​ number. Find the number.

Answer:

• Number be 15.

Step-by-step explanation:

Given:

• 10 is added to 4 times a certain number, result is 5 less than 5 times the number.

To Find:

• Find the number.

Let the number be 'x'.

Now, according to question,

⇒ 10 + 4x = 5x - 5

⇒ 10 + 5 = 5x - 4x

⇒ 15 = x

⇒ x = 15

Verification:

⇒ 10 + 4 × 15 = 5 × 15 - 5

⇒ 10 + 60 = 75 - 5

⇒ 70 = 70

Hence Proved!!

#answerwithquality

#BAL

Answer 2

Answer:

x=15. is the right answer ....