Sum if 2 numbers is 145 and difference is 55.
Find the numbers ?
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Sum if 2 numbers is 145 and difference is 55.
Find the numbers ?
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Answer:
let the two numbers be 't' and 'r'
t + r = 145 (given)
t-r=55 ( given)
on adding , we get,
(t +r )+ (t-r) = 145 + 55
or, t+r+t-r = 200
or, t +t+r-r=200
or, 2t=200
or , t = 200/2
or, t =100
now, we know that, t +r= 145
therefore, 100+ r = 145
or, r= 145 -100
or, r =45
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Answer:
Let the two numbers be x and y, where x > y⤵️
By the given data, x+y=55 ▫️(1)
x−y=7 ▫️ (2)
Equation (2) becomes, x=7+y ▫️ (3)
Substituting x in (1) we get, 7+y+y=55
⇒2y=55−7=48
∴y=248=24
Substituting y = 24 in (3) we get, x=7+24=31.
∴ The required two numbers are 31 and 24.
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