Question

The HCF of two numbers is 23 and the other factors of their LCM are 13 and 13. The larger of the two numbers is ?​

Answer 1

$\Large{ \mathfrak{ \underline{ Question : }}} \\ \\ \text{The HCF of two numbers is} \\ \text{23 and the other factors of their} \\ \text{LCM are 13 and 13. The larger} \\ \text{of the two numbers is ?} \\ \\ \Large{ \mathfrak{ \underline{ Answer : }}} \\ \\ \text{\underline{The larger of the two numbers is 322.}} \\ \\ \Large{ \mathfrak{ \underline{ Solution : }}} \\ \\ \textsf{HCF of numbers = 23} \\ \\ ∴ \textsf{Let the numbers are 23x and 23y} \\ ∴ \textsf{LCM = 23xy} \\ \\ ⇒ \textsf{Now given that factor of LCM are 13, 14} \\ \\ ∴ \sf{LCM = 23 × 13 × 14} \\ \\ ∴ \textsf {Numbers are} \\ \qquad \sf = 23 × 13 \: and \: 23 × 14 \\ \qquad \sf = 299 \: and \: 322 \\ \qquad \sf \large = \boxed{\sf 322}$

Answer 2

SOLUTION

The numbers are (23× 13) &(23× 13)

Here, is same no larger number

=) 23× 13 = 299

=)23× 13= 299.

Boths are equal