smaller number: x
larger number: x + 19
smaller + larger = sum
x + (x + 19) = 97
2x + 19 = 97
2x = 78
x = 39
larger number: x + 19 = (39) + 19 = 58
Answer: 58
The larger number by the given condition is 58.
Given: Two numbers.
Let, the larger number be x.
the smaller number be y.
Now, we have to find the value of larger number i.e. x.
According to the given conditions:
x = y + 19 …(1)
x + y = 97 …(2)
From equation (1)
⇒ x = y + 19
⇒ y = x - 19 …(3)
Now, put equation (3) in equation (2), we get:
⇒ x + y = 97
⇒ x + x - 19 = 97
⇒ 2x = 116
⇒ x = 58
Therefore, the larger number is 58.
Learn more about the Linear Equations here: https://brainly.com/question/8990112
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