Math, asked by tanijuglani6209, 1 year ago

if the sum of two numbers be multiplied by each number separately, the products so obtained are 247 and 114. The sum of the number is.

Answers

Answered by Anonymous
24
Let the numbers be 'a' & 'b'
(a+b)*a = 247
(a+b)*b = 114
a^2 + ab = 247
b^2 + ab = 114
Subtract above 2
a^2 - b^2 = 133
(a+b)*(a-b) = 133
(a+b)*(a-b) = 19 * 7
a= 13, b =6
[a+b = 19, a-b = 7...adding: 2a = 26, a=13..hence b = 6]
Hence numbers are 13,6
And sum of numbers is: 13+6 = 19
Hope it helps.
Answered by vishalsingh201997
3

Answer: 19

Step-by-step explanation:

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