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Answer:
Let the two numbers be 4x and 7x.
ATQ,3(7x)+2(4x)=59
21x+8x=59
29x=59
x=59/29=2.03......
4x=2.03×4=8.12 is the smallest number.
7x=2.03×7=14.21 is the largest number
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Question:
Two numbers are in the ratio of 4:7.If thrice the larger be added to twice the smaller, the sum is 59.Find the numbers.
Answer:
Let the ratio be x
The number became 4x and 7x.
Thrice the larger number i.e. 3(7x)=21x
Twice the smaller number i.e. 2(4x)=8x
According to the question,
→21x + 8x = 59
→29x = 59
→x = 59 ÷ 29
→x = 2.03
Therefore x = 2 approximately
Numbers = 4x = 4 × 2 = 8
= 7x = 7 × 2 = 14
Therefore numbers are 8 and 14.
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