Question

a larger integer is 1 more than twice the other integer. if the sum of integer is 25, find the integers. also, verify your answer

Answer 1

$\large{\bold{Solution :}}$

Let the smaller integer be x

So, the larger one be 2x + 1

Sum of the Integers = 25

According to Question,

x + (2x + 1) = 25

=> 3x = 25 - 1 = 24

=> x = 24/3 = 8

Larger Integer = 2x + 1
= 2(8) + 1
= 16 + 1
= 17

Hence, The integers are 8 and 17

$\large{\bold{Prove :}}$

Sum of integers = 25

8 + 17 = 25

Hence, It is proved.
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$\boxed{Hope\:it\:helps!}$
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