Question

Two numbers are in the ratio of 15 : 11. If their H.C.F is 13, find the numbers?.

• A. 195,143
• B. 196,143
• C. 195,141
• D. 195,142

Answer 1

Answer:

A. 195,143

Given:

Ratio of two numbers = 15 : 11

HCF = 13

Calculations:

Let the two numbers be 15a and 11a respectively.

⇒ HCF of these = a

⇒ a = 13

∴ Two numbers = $15\times{13}=</span><strong><span style="color: rgb(0,0,0); font-family: acumin-pro, -apple-system, BlinkMacSystemFont, Segoe UI, Roboto, Helvetica Neue, Arial, sans-serif, Apple Color Emoji, Segoe UI Emoji, Segoe UI Symbol, Noto Color Emoji; font-size: 18px">195</span></strong><span style="color: rgb(0,0,0); font-family: acumin-pro, -apple-system, BlinkMacSystemFont, Segoe UI, Roboto, Helvetica Neue, Arial, sans-serif, Apple Color Emoji, Segoe UI Emoji, Segoe UI Symbol, Noto Color Emoji; font-size: 18px">$

and $11\times{13}=</span><strong><span style="color: rgb(0,0,0); font-family: acumin-pro, -apple-system, BlinkMacSystemFont, Segoe UI, Roboto, Helvetica Neue, Arial, sans-serif, Apple Color Emoji, Segoe UI Emoji, Segoe UI Symbol, Noto Color Emoji; font-size: 18px">143</span></strong><span style="color: rgb(0,0,0); font-family: acumin-pro, -apple-system, BlinkMacSystemFont, Segoe UI, Roboto, Helvetica Neue, Arial, sans-serif, Apple Color Emoji, Segoe UI Emoji, Segoe UI Symbol, Noto Color Emoji; font-size: 18px">$