Question

If A: B = 5: 8 and B:C = 16:25, find A : C.​

Answer 1

Answer:

A:C = 2:5..............

Answer 2

Given :-

A:B = 5:8

B:C = 16:25

To Find :-

A:C

Solution :-

${\dfrac{A}{B}}\: =\: {\dfrac{5}{8}}$

${\dfrac{B}{C}}\: =\: {\dfrac{16}{25}}$

Theory :- Multiplying both the ratios will

lead us to perform mathematical

operatios to find the ratio

between A and C.

${\dfrac{A}{B}}\:\times\:{\dfrac{B}{C}}\: =\: {\dfrac{5}{8}}\:\times\:{\dfrac{16}{25}}$

$\implies\:{\dfrac{A}{\not{B}}}\:\times\:{\dfrac{\not{B}}{C}}\: =\: {\dfrac{\not{5}^{1}}{\not{8}^{1}}}\:\times\:{\dfrac{\not{16}^{2}}{\not{25}^{5}}}$

$\implies\:{\dfrac{A}{C}}\: =\: {\dfrac{2}{5}}$

=> A:C = 2:5

Required answer = 2:5