Question

please solve this question step by step please help me.....
..

Answer 1

If x:y = 7:9
and y:z = 5:4

Therefore, x/y = 7/9
and y/z = 5/4

Try to make the values of y in both the equation equal.

The LCM of 9 and 5 is 45.

Therefore,
$x \div y = 7 \div 9 \\ x \div y = (7 \times 5) \div (9 \times 5) \\ x \div y = 35 \div 45$
And
$y \div z = 5 \div 4 \\ y \div z = (5 \times 9) \div (4 \times 9) \\ y \div z = 45 \div 36$

Now, parts of y in both the equations have become equal.

So,

x : y : z = 35 : 45 : 36