Question

If x:y = 7:9 and y:z = 11:14 , find x:y:z and x:z , explain also please ​

Answer 1

Answer:

x:z = 11:18

Step-by-step explanation:

see attachment

Answer 2

✬ Question ✬

If x:y = 7:9 and y:z = 11:14, find x:y:z.

✬ Given ✬

• x:y = 7:9  
• y:z = 11:14

✬ To find ✬

x:y:z

✬ Solution ✬

x:y = 7:9

or, x/y = 7/9

y:z = 11:14

or, y/z = 11/14

First we have to make y equal in both fractions.

So,

• x/y = 7/9 = 7/9 × 11/11 = 77/99
• y/z = 11/14 = 11/14 × 9/9 = 99/126

Since, y is equal in both fractions, we can say-

x:y:z = 77:99:126

✬ Hence ✬

x:y:z = 77:99:126

✬ Therefore ✬

x:y:z is equals to 77:99:126.

-----------------------------------------------------------

✬ Question ✬

If x:y = 7:9 and y:z = 11:14, find x:z.

✬ Given ✬

• x:y = 7:9  
• y:z = 11:14

✬ To find ✬

x:z

✬ Solution ✬

x:y = 7:9

or, x/y = 7/9

y:z = 11:14

or, y/z = 11/14

First, we have to make y equal in both fractions.

So,

• x/y = 7/9 = 7/9 × 11/11 = 77/99
• y/z = 11/14 = 11/14 × 9/9 = 99/126

Since y is equal in both fractions, we can find x:y.

x/y × y/z

= 77/99 × 99/126

= 77/126

So, x/z = 77/126

∴ x:z = 77/126

→ x:z = 11/18 (77/126 ÷ 7/7 = 11/18)

✬ Hence ✬

x:z = 11:18

✬ Therefore ✬

x:z is equals to 11:18.

✡ Hope this helps you. ✡