Question

The sum of two number is 90. One third of the larger number is 9more then twice the smaller one what are the number
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Answer 1

Answer:

60 & 30

Step-by-step explanation:

Answer 2

Answer:

$\:\boxed{\begin{aligned}& \qquad \:\sf \: Smaller \: number = 9 \qquad \: \\ \\& \qquad \:\sf \: Larger \: number = 81 \end{aligned}}$

Step-by-step explanation:

Given that, sum of the two numbers is 90.

Let assume that larger number be x.

So, Smaller number be 90 - x

According to statement, ine third of the larger number is 9 more then twice the smaller one.

$\sf \: \dfrac{x}{3} = 9 + 2(90 - x)$

$\sf \: \dfrac{x}{3} = 9 + 180 - 2x$

$\sf \: \dfrac{x}{3} = 189 - 2x$

$\sf \: x = 3(189 - 2x)$

$\sf \: x = 567 - 6x$

$\sf \: x + 6x = 567$

$\sf \: 7x = 567$

$\implies \sf \:x = 81$

Hence,

$\implies \sf \:\boxed{\begin{aligned}& \qquad \:\sf \: Smaller \: number = 9 \qquad \: \\ \\& \qquad \:\sf \: Larger \: number = 81 \end{aligned}}$