Question

The sum of three numbers is 105 the ratio between first and second 2:5 and the ratio between the second number is 4:5 what is third number

Answer 1

Answer:

Step-by-step explanation:

Suppose the numbers are x, y and z.

As per the given conditions:

x+y+z=105: equation 1

x:y=2:5, equation 2

y:z=4:5, equation 3

Solving this equations;

x=2y/5 from eq. 1;

z=5y/4 from eq.2

putting the value of x and z in eq. 1

we get

(2y/5)+y+(5y/4)=105

Taking lcm

(8y+20y+25y)/20=105;

53y=105*20;

y=39.6(apprx)

x=2y/5=(2*39.6)/5=15.8

z=5y/4=(5*39.6)/4=49.5