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

Question

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Answer 1

Let the two numbers be $10 x$ and $11 x$
Sum $= 10 x + 11 x = 168$
$\Rightarrow 21 x = 168$
$\Rightarrow x = \frac{1 6 8}{2 1} = 8$
$∴$ the numbers are $10 \times 8 = 80$ and $11 \times 8 = 88$
Hence the numbers are $80$ and $88$

Answer 2

Let the two numbers be

10 x

and

11 x

Sum

= 10 x + 11 x = 168

\Rightarrow 21 x = 168

\Rightarrow x = \frac{1 6 8}{2 1} = 8

∴

the numbers are

10 \times 8 = 80

and

11 \times 8 = 88

Hence the numbers are

80

and

88