what are those two number whose sum is 58 and difference is 28
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Step-by-step explanation:
Let the smaller of the two numbers be x.
The difference between the two numbers is 28.
∴ The bigger number = x + 28.
The sum of the two numbers = 58.
According to the given condition,
x + (x + 28) = 58
⇒ x + x + 28 = 58
2x + 28 = 58
⇒ 2x = 58 – 28 (Transposing 28 to RHS)
2x = 30
⇒ x =
(Transposing 2 to RHS)
x = 15
The smaller of the two numbers = x = 15
The bigger of the two numbers = x + 28 = 15 + 28 = 43
∴ The two numbers are whose sum is 58 and difference is 28 are 15 and 43.
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