Question

160=2ab^2, where a and b are both prime numbers. Calculate the value of a and b.

Answer 1

$\underline{\textsf{Given:}}$

$\mathsf{160=2\,ab^2}$

$\underline{\textsf{To find:}}$

$\textsf{The value of a and b}$

$\underline{\textsf{Solution:}}$

$\textsf{Consider,}$

$\mathsf{160=2\,ab^2}$

$\mathsf{2{\times}80=2\,ab^2}$

$\mathsf{2{\times}5{\times}16=2\ab^2}$

$\mathsf{2{\times}5{\times}4^2=2\,ab^2}$

$\textsf{Comparing on bothsides, we get}$

$\textsf{a=5 and b=4}$

$\textsf{Here, 5 and 4 are prime to each other}$

$\underline{\textsf{Answer:}}$

$\textsf{The values of a and b are 5 and 4}$