Question

two numbers are in the number 10:11 . Their sum is 168 . Find the numbers

Answer 1

Step-by-step explanation:

10x+11x=168

or,21x=168

or,x=8

therefore the numbers are 80 and 88

Answer 2

Answer :-

• The numbers are 80 and 88.

Given :-

• Two numbers are in the ratio 10 : 11.
• Their sum is 168.

To find :-

• The numbers.

Step-by-step explanation :-

• In this question, it has been given that two numbers are in the ratio 10 : 11 and their sum is 168. We have to find the numbers.

• The numbers are in the ratio 10 : 11. So let them be 10x and 11x respectively.

• It has been given that their sum is 168. So that means the sum of 10x and 11x is 168.

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$\longmapsto\sf10x + 11x = 168$

Adding 10x and 11x,

$\longmapsto\sf21x = 168$

Transposing 21 from LHS to RHS, changing it's sign,

$\longmapsto\sf x = \dfrac{168}{21}$

Dividing 168 by 21,

$\longmapsto\sf x = 8$

• The value of x is 8.

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Hence, the numbers are :-

$\rm10x = 10 \times 8 = 80.$

$\rm11x = 11 \times 8 = 88.$