Two numbers are in ratio 4: 7. If thrice the larger be added to twice to the smaller, the sum is 59. Find the numbers.
Answers
Answer :
›»› The numbers are 8 and 14.
Given :
- Two numbers are in ratio 4: 7. If thrice the larger be added to twice to the smaller, the sum is 59.
To Find :
- The numbers.
Solution :
Let us assume that, the two required number is 4x and 7x respectively.
Thrice the larger number,
→ 3(7x)
→ 21x
Twice the smaller number,
→ 2(4x)
→ 8x
According to the given question,
The sum of two numbers is 59
→ 21x + 8x = 59
→ 29x = 59
→ x = 59/29
→ x = 2 [approximately]
Therefore,
→ The first number = 4x
→ The first number = 4 * 2
→ The first number = 8
→ The second number = 7x
→ The second number = 7 * 2
→ The second number = 14
║Hence, the numbers are 8 and 14.║
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