Question

2 numbers are in the ratio4:5 if 6 is added to the First number and 8 to the other no. The ratio become 11:14 find the number ​

Answer 1

Answer:

first = 4x = 4×4 =16

second = 5x =5×4=20

Step-by-step explanation:

let the two numbers are 4x and 5x

then

after adding 6 to the first number and 8 to the second number the ratio = 11:14

4x+6/(5x+8) = 11:14

14(4x+6)=11(5x+8)

56x+84=55x+88

56x-55x =88-84

x=4  

∴ , required numers are

first = 4x = 4×4 =16

second = 5x =5×4=20

Answer 2

✪ Question ✪

Two numbers are in the ratio 4:5. If 6 is added to the first number and 8 to the other number, the ratio becomes 11:14. Find the numbers.

✪ To find ✪

The numbers.

✪ Solution ✪

Let the two numbers are 4x and 5x respectively.

We can write 4:5 as 4/5 and 11:14 as 11/14.

According to condition,

(4x+6)/(5x+8) = 11/14

→ 14(4x+6) = 11(5x+8) (cross multiplication)

→ 56x+84 = 55x+88

→ 56x-55x = 88-84

or, x = 4

✪ Hence ✪

☞ One number = 4x = (4×4) = 16

☞ Other number = 5x = (5×4) = 20

✪ Therefore ✪

The numbers are 16 and 20 respectively.

๑ Hope this helps you. ๑