Question

3. Four-fifths of a number is 10 more than two-thirds of the number. Find the number.​

Answer 1

Answer:

Let the number required is x

According to the question we can write as

(4/5)x−10=(2/3)x

On rearranging,](4/5)x−(2/3)x=10

Now taking the L.C.M of 3 and 5 is 15

(12x−10x)/15=10

On cross multiplication,

2x=150

x=150/2=75

So the required number is 75

Answer 2

Answer:

75

Step-by-step explanation:

=(4/5)a = (2/3)a + 10

= (4/5)a - (2/3)a = 10

= (12/15)a - (10/15)a = 10

= (2/15)a = 10

= 2a = 10 * 15

= a = 150 / 2

Hence, a = 75