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

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

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

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