Question

Reversing the digits of Leena's house number gives Reena's house number. The larger of the two house numbers is 4.5 times the the smaller of the two. What is the larger of the two house numbers​

Answer 1

Answer:

tarnish park PayPal gdhri

Answer 2

Given:

The house number having greater value is 4.5 times the smaller house number.

To find:

House number having the greater value.

Solution:

According to the question, if we take, in the house number of Reena, the one's digit as y and the ten's digit as x.

Hence, we get Reena's house number = $10x+y$

Also, we have Leena's house number = $10y+x$

According to the question, one of the house numbers is greater than the other 4.5 times.

Let, Reena's house number be greater therefore,

$10x+y=4.5(10y+x)$

$10x-4.5x=45y-y$

$5.5x=44y$

$x=8y$

Substituting this, we get

Reena's house number = $10(8y)+y$ $=81y$

Leena's house number = $10y+8y=18y$

Hence, here we get Reena's house number as 81y and Leena's as 18y. Very clearly Reena's house number is greater.

But,

If we assume Leena's house number as greater and solve the equation, we get

$10y+x=4.5(10x+y)$

We get

$y=8x$

and, therefore, Leena's house number as greater.

Final answer:

Hence, we can conclude that it is not possible to determine the value of house numbers due to insufficient data.