the sum of two number is 25 if thrice the smaller number is subtracted from twice the larger number the subtractions is also 25 find the numbers
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Answer:
Largest number = 20
smallest number = 5
Step-by-step explanation:
Let one number be x and other be y
X + Y = 25 (let this be equation no !1)
2X - 3Y = 25
(!1) x 3 gives 3X + 3Y = 75 (let this be equation no !2)
2X - 3Y = 25 (let this be equation no !3)
(!2) + (!3) gives 5X = 100
X = 100/5
= 20
substituting this in equation no !1, we have
X + Y = 25
20 + Y =25
Y = 25-20
= 5
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