two numbers are in the ratio 2:3 The larger number is 30 more than half of the smaller number find the numbers
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✿ QUESTION:-
two numbers are in the ratio 2:3 The larger number is 30 more than half of the smaller number find the numbers
✿SOLUTION:-
⇒let us consider the two numbers to be r and r. ⇒.°. given, the ratio of two numbers is 2:3.
⇒ .°. r : r = 2:3
⇒r /1 × r / 1 = 2/1 × 3/1 ----(divide by both side 1)
⇒ .°. r/1 ×2/1= r/1 ×3/1
✿ cross multiplication,
⇒.°. 2r = 3r.
✿ NOW,
⇒ r-( r/2)=30
⇒ 3r -(2r /2) =30
⇒ 3r - r =30
⇒ 2r =30
⇒ .°. r = 15
✿ NOW,
✿ first number is 2r = 2×15 =30
✿ second number is 3r = 3×15=45.
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