Question

what number is to be added to each term of ratio 7:9to get 15:16​

Answer 1

Solution :

Here are two ratios 7 : 9 and 15 : 16

We'll find the number which can be added to 7 : 8 to get 15 : 16

Let k be added to the ratio, then required number is

• 7 + k
• 9 + k

It is given that after adding the assumed number to the ratio 7 : 9 we get 15 : 16

Now, according to question :

➝ (7 + k)/(9 + k) = 15/16

➝ 16 (7 + k) = 15 (9 + k)

➝ 126 + 16k = 135 + 15k

➝ 16k - 15k = 135 - 126

➝ k = 135 - 126

➝ k = 9

Hence, the required no. is k = 9 which is added to the ratio 7 : 9 to get 15 : 16.

Answer 2

Answer:

23

Step-by-step explanation:

Let the no. be x , 7±x / 9±x = 15/16, 16(7+x) = 15(9+x), 112+16x = 135+15x , 16x -15x = 135-112 = 23