i need help with this problem

Question

4/9 of some number increased by 25 is 4 times the number. What is the number?

Answer 1

Let's x be the number,

given that,

(4/9)x+25=4x

=>4x+225=36x... multiplying both sides by 9

=>32x=225... subtracting 4x from both sides

=>x=225/32

 

thus (4/9) of 225/32 = 25/8

then, (25/8)+25=225/8

again 4 times 225/32= 225/8.