Question

The ratio of two natural numbers is 5:9. If the difference between thrice the larger number and twice the smaller number is 68, find the two numbers.

Answer 1

Answer:

answer for the given problem is given

Answer 2

$\large{\boxed{\bf{Answer}}}$

20, 36

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Given :-

• The ratio of two natural numbers is 5:9

• Difference between thrice the larger and twice the smaller number is 68

To Find :-

• Those numbers

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$\large{\boxed{\bf{Solution}}}$

★ Put x in the ratio

• Numbers are 5x , 9x

• Thrice the larger number is 3(9x)

• Twice the smaller number is 2(5x)

★ According to question :-

• 3(9x) - 2(5x) = 68

=> 27x - 10x = 68

=> 17x = 68

=> x = 68/17

=> x = 4

Put the value of x in the ratio

=> 5 × x = 5 × 4 = 20

=> 9 × x = 9 × 4 = 36

Hence, the numbers are 20 and 36 respectively.

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