Question

The ratio of two numbers is 16:1. If 5 is added to smallest number then greater number becomes 8 times of the smallest number. find the greater number. ​

Answer 1

Answer:

• Greater number = 80
• Smaller number = 5

Step-by-step explanation:

Given:

• The ratio of two numbers is 16:1.

To Find:

• Greater number.

Let the two numbers be 16x and x.

Now, according to question.

⇒ 16x = 8(x + 5)

⇒ 16x = 8x + 40

⇒ 16x - 8x = 40

⇒ 8x = 40

⇒ x = 40/8

⇒ x = 5

Hence, two numbers are:

• 16x = 16 × 5 = 80
• x = 5

Verification:

It is given that the ratio between two numbers be 16:1.

$\longrightarrow \sf \dfrac{80}{5}\\ \\ \\ \longrightarrow \sf \dfrac{8}{1}\\ \\ \\ \sf Hence,\;ratio\;be\;1:8.$

Hence Proved!!

#answerwithquality

#BAL

Answer 2

Answer:

Let the numbers be 16x and x

Then

(x+5)8=16x

or, 8x+40=16x

16x-8x=40

8x=40

x=5

So the greater no. Is 5×16=80...