three numbers are in the ratio 2:3:5 and the sum of their
squares is 152, what will be their sum ?
Answers were Sorted based on User's Feedback
Answer / jerry
ratio of three numbers is 2:3:5. First add the numbers (as
can be done with any ratio) 2+3+5=10, therefore: let y be
each ratio.
y1/10=x^2/152
y1*(152)/10 = x^2
y1*(15.2)=x^2, the same for the other three numbers in ratio
Now substitute each ratio number:
2*(15.2)=x1^2=30.4, x=(30.4)^1/2 = 5.5136195
to five sigficant digits, now the next numbers in ratio
3*(15.2)=x2=(45.6)^1/2
5*(15.2)=x3=(76)^1/2
X1=5.5136195
X2=6.7527772
X3=8.7177978
What will their sum be?:
X1+X2+X3=5.5136195+6.7527772+8.7177978= 20.9841945
X1^2+X2^2+X3^2=152
also note sum of squares:
(5.5136195)^2+(6.7527772)^2+(8.7177978)^2=152
Also note:
30.4+45.6+76=152 because these are the squares of the above
sum of squares.ex. 30.4 =(5.5136195)^2
also note:
30.4:45.6:76 is the ratio of the X's above
then division by 30.4:
1:1.5:2.5
then multiply by 2:
2:3:5 =>have check answer as requested
Is This Answer Correct ? | 6 Yes | 3 No |
Answer / shantha meena
the nos are 2x,3x,5x.
4x^2+9x^2+16x^2=152
38x^2=152
x^2=4
so x=2.
sum=2x+3x+5x
=2*2+3*2+5*2=4+6+10
sum=20.
Is This Answer Correct ? | 3 Yes | 1 No |
The price of a product is reduced by 30% . By what percentage should it be increased to make it 100%
7 Answers 3i Infotech, Canara Bank, IBM, ICICI, iSoft, Mu Sigma,
success is to failure, joy is to ?
If a certain computer is capable of printing 4900 monthly credit card bills per hour, while a new model is capable of printing at a rate of 6600 per hour, the old model will take approximately how much longer than the new model to print 10000 bills?
any body who got interview call letter from axis bank... ganesh here... call me 9842648112 or mail me at ganesh_280574@rediffmail.com
There is a carem board where 4 No of player can play at a time but 5 No of player have to play with every for gain personal score(not double).In this case how many total minimum No of game /meach will be play..
If the letters of the word "rachit" are arranged in all possible ways and these words are written out as in a dictionary, what is the rank of the word "rachit".
A father F has 5 sons, p,q,r,s,t. Not necessarily in this order. Two are of same age. The eldest and youngest cannot be twins. T is elder to r and younger to q and s has three older brothers. who is the oldest and youngest?
A power unit is there by the bank of the river of 750 meters width. A cable is made from power unit to power a plant opposite to that of the river and 1500mts away from the power unit. The cost of the cable below water is Rs. 15/- per meter and cost of cable on the bank is Rs.12/- per meter. Find the total of laying the cable.
A man shows his friend a woman sitting in a park and says that she the daughter of my grandmother's only son. What is the relation between the two
what would be the next number in the sequence 2. 20, 74, 110 ?
24 Answers HCL, TCS,
box1-2 box2-12 box3-350 using multiplication and division only bring 74 in box 3 in 3steps
Dear Sir, Please send me the last 5 years question paper of Clerkship exam to my mail ID. My mail ID is alam_ershad@hotmail.com
0 Answers State Bank Of India SBI,