Question

The ratio between two numbers is 7:11 and their
LCM is 154. The first number is:
(a) 14
(b) 7
(c) 22
(d) 32

Answer 1

Answer:

Let:-

Let two numbers be 7n and 11n

Sum of 7n and 11n is 18n

LCM of 7n and 11n is 77n

According to question:-

77n = 154

n = 154 ÷ 77

n = 2

18n = 18 × 2 = 36

First number is 36

Step-by-step explanation:

Hope this helps you.

# By Sparkly Princess

Answer 2

Answer:

Here we will find the first number using the given ratio value and the L.C.M value. Final Answer of first number is: $14$

Step-by-step explanation:

Ratio of the two numbers is $7:11$.

So that, the two numbers is $7x$ and $11x$. Here $x$ is common term in both numbers.

L.C.M of two numbers is $154$.

L.C.M of $7x$ and $11x$ is $77x$.

So we can equate $77x$ and $154$.

Which means, $77x=154$

                           $x=\frac{154}{77}$

                           $x=2$

So apply this value of $x$ into $7x$ and $11x$.

That two numbers are,

First number is,       $7x=7$ × $2$

                                 $7x=14$

Second number is, $11x=11$ × $2$

                                $11x=22$

In our question asked first number $=14$