Question

The ratio of two numbers is 15 : 11. If their HCF is 13. then the numbers are:
(a) 75. 55 (b) 45. 22 (c) 104, 44 d) 195, 143​

Answer 1

AnswEr:

Option (d) is Correct.

$\rule{150}2$

Two Numbers are in the Ratio of 15: 11 [Given]

Let us Consider that the Numbers are 15x & 11x.

HCF of the Given Ratio is 13. [Given]

So, x = 13

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$\sf{First \; Number}\begin{cases}\sf{ 15 \times 13} \\ \sf{ 195}\end{cases}$

Now,

$\sf{Second\; Number}\begin{cases}\sf{11 \times 13}\\ \sf{143}\end{cases}$

$\bold{\underline{\sf{\red{Hence,\; Required\: Numbers\: are \; 195\;\& \; 143.}}}}$

$\rule{150}2$

Additional information-

HCF is the Highest Common Factor it can be found by finding all the common factors and taking large Number.

A Ratio is the Comparison of two or more Numbers and shows relation between them.

Answer 2

$\huge{\boxed{\mathfrak{answer}}}$

(D) 195 , 143

Step-by-step explanation:

Given information :

Ratio of two numbers is :-   15 : 11

Their HCF is 13

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Question :-  To Find the  two numbers

SOLUTION :

Let the two numbers be  15 y and  11y  ( since they are in ratio )

Their hcf is 13

So the numbers are :  

 15 y =  15 × 13 = 195

 11y  =  11 × 13  = 143

•°• the two required numbers are 195 and 143.

$\huge{\boxed{\mathfrak{Things\:to\:know\:}}}$

H.C.F = Highest common factor .

It is the largest common factor of two numbers

Example :-  Hcf of 12 and 18 is 6

h.c.f can be find in 3 ways :

> Factorization method

> Prime factorization method

> division method

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Thank you ...!!