Latest L&T Aptitude Question SOLUTION: 29. The difference and the product of two numbers are 32 and 2145 respectively. Their sum is: (a) 89 (b) 98 (c) 78 (d) 87

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29. The difference and the product of two numbers are 32 and 2145 respectively. Their sum is:
(a) 89
(b) 98
(c) 78
(d) 87

Asked In L&T Jayesh Hazari (9 years ago)

Unsolved Read Solution (17)

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Read Solution (17) :

pushpank thakur  (8 years ago)

(a+b)^2=a^2 + b^2+ 2ab eq (1)
(a-b)^2 = a^2 + b^2 - 2ab eq (2)
from eq (2), we get,
a^2 + b^2 = (a-b)^2 + 2ab eq (3)
put this value of a^2 + b^2 in eq (1)
we get,
(a+b)^2 = (a-b)^2 + 2ab + 2ab
= (a-b)^2 + 4ab
= 32^2 + 4 * 2145
= 9604
(a+b) = (9604)^1/2
= 98 ans.

Is this solution Helpfull? Yes (7) | No   

Pratik chattopadhyay  (9 years ago)

(A+B)=root over(A-B)^2+4AB
A-B=32;AB=2145;
(A+B)^2 = 32^2+4*2145=9604;
(A+B)=98

Is this solution Helpfull? Yes (6) | No   

Roshan Pawar  (9 years ago)

let 1st no. = m
2nd no. = n
m-n= 32 --> m=32+n
m*n = 2145
putting the value of m we get n = 33 and then m = 65
hence, m+n = 33+65 = 98. OPTION B is correct

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Jayesh Hazari  (9 years ago)

1st no is :65 and 2nd no:33
so sum is : 98

Is this solution Helpfull? Yes (3) | No   

girish jadhav  (9 years ago)

B.98
x-y=32
x=y+32
substituting this in xy=2145 we get y = 33 and subs this in main eqn we get x=65
sum of those two nos is 98

Is this solution Helpfull? Yes (3) | No (1)  

rence  (8 years ago)

somebody tell me the easiest way to solve the such type of questions

Is this solution Helpfull? Yes (3) | No   

swaroop  (9 years ago)

xy=2145
x-y=32
sub and solve eq y2+32y-2145=0
x=65,y=33
ans : 98

Is this solution Helpfull? Yes (2) | No   

vineet prakash  (9 years ago)

98 is the ans.

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tirupathi reddy  (9 years ago)

Option a) b
The numbers are 65 and 33

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k vydehi  (9 years ago)

ans:78
(a+b)^2=(a-b)^2+2ab
a+b=sqrt(32^2+2*2145)
=78

Is this solution Helpfull? Yes (1) | No (3)  

nithin chenna  (8 years ago)

98 option b

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Chirag Ranjan Lahiri  (9 years ago)

1st no is :65 and 2nd no:33
so sum is : 98

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deekshith  (8 years ago)

a-b=32;a+b=89 ,here a*b is not 2145
a-b=32;a+b=98,here a*b =2145.......can check from answer also

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Kavish Kumar  (8 years ago)

x-y=32 .......... (i)

xy=2145 ............(ii)
find the value of x from (ii) that is x=2145/y and put this value in (i)

solve the equation and you will be getting y=33
so x will be x-33= 32 ..............from(i)
x=33+32
i.e x=65
so add both the no to get the answer asked in question
65+33=98;
hence 98 is the answr

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suraj kumar  (8 years ago)

take factor of 2145 and try to co- relate the answer... definetly it helps you in future. most simple technique

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vasoya khushal  (8 years ago)

98
a-b=32
ab=2145
a=32+b
b^2+32b-2145=0 solve b=65/32
so a+b=98

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THUMMALA VINEESHA  (8 years ago)

using the formula (x+y)^2-(x-y)^2=4xy
(x+y)^2=4(2145)+(32)^2
=8580+1024=9604
x+y=sqrt(9604)=98

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