The difference between two positive integers is 32. The ratio of these integers is 1:3. Find these integers.
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Answered by
76
Solution :-
Given :
The difference between two
positive integers is 32. &
The ratio of these integers
is 1:3.
To find :
Required integers
Let us consider 1:3 as
1x and 3x and their sum
is 32
So,
we have to solve this equation
1x - 3x = 32
Let us solve,
⇒ 1x - 3x = 32
⇒ 2x = 32
⇒ x = 32 ÷ 2
⇒ x = 16
∴ First integer = x
= 16
and second integer = 3x
= 3 × 16
= 48
Verification :-
⇒ (1 × 16) - (3 × 16) = 32
⇒ 16 - 48 = 32
⇒ 32 = 32
L.H.S=R.H.S
hence it is verified
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