# Divide 4864 into three parts such that the second part is five times the first and the ratio of the second part to the third part is 3:4

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by pjjaiswal

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by pjjaiswal

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Second part = 3x
Third part = 4x
Second part = 5 first part
3x = 5 first part
First part = 3x/5
1st part + 2nd part + 3rd part = 4864
3x/5 + 3x + 4x = 4864
3x + 15x + 20x = 4864*5
38x = 24320
X = 640
1st part = 3x/5 = (3*640)/5 = 384
2nd part = 3x = 3*640 = 1920
3rd part = 4x = 4*640 = 2560

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

We will consider three numbers x,y & z such that there sum is 4864

so,

x+y+z=4864 ..................(i)

ATQ,

y=5x

=> x=y/4

and

y/z=3/4

=>z=4y/3 (cross multiplying)

Substituting the values of x , z in equation 1

=>y/4 + y + 4y/3=4864

(

Taking LCM i.e. 15 )

=> (3y+15y+20y)/15=4864

=>solving the equation gives;

y=1920,

Thus

x= y/5=1920/5=384

z=4y/3=4(1920)/3=2560

Thus three numbers are

384,1920,2560

THATS ALL FOLKS !!!

so,

x+y+z=4864 ..................(i)

ATQ,

y=5x

=> x=y/4

and

y/z=3/4

=>z=4y/3 (cross multiplying)

Substituting the values of x , z in equation 1

=>y/4 + y + 4y/3=4864

(

Taking LCM i.e. 15 )

=> (3y+15y+20y)/15=4864

=>solving the equation gives;

y=1920,

Thus

x= y/5=1920/5=384

z=4y/3=4(1920)/3=2560

Thus three numbers are

384,1920,2560

THATS ALL FOLKS !!!