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1. Out of two numbers, 4 times the smaller one is less than 3 times the larger one by 5, if the sum of the numbers is larger than 6 times their difference by 6, find the two numbers
- A. 55 and 58
- B. 55 and 58
- C. 55 and 58
- D. 55 and 58
Answer: Option C
Explanation:
Let, Smaller number be x and larger be x
and larger number y
ATQ, 4x = 3y - 5
= > 4x - 3y = - 5 .............(i)
And, x + y = 6 (y - x) + 6
= > x + y - 6y + 6x = 6
= > 7x - 5y = 6 ..........(ii)
(i) × 5 - (ii) × 3
= x = - 43
∴x = 43
From (i) 4 × 43 - 3y = - 5
= > - 3y = - 5 - 172 = - 177
∴y = (177/3)
= 59
∴(y,x) = (59,43) (Ans) .
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