Question

the ratio of x to y is 1:2 if ratio of x+2 to y+1 is 2:3 then what is the value of x ?​(plz answer fast and explain everything)​

Answer 1

STEP-BY-STEP EXPLANATION:

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Let's,

• The value of x be a.

So,

• The value of y should be 2a.

According To Question,

$:\implies\tt (x + 2) : (y +1 ) = 2 : 3$

$:\implies\tt \frac{x + 2}{y + 1} = \frac{2}{3}$

$:\implies\tt \frac{a + 2}{2a + 1} = \frac{2}{3}$

$:\implies\tt 3(a + 2) = 2(2a + 1)$

$:\implies\tt 3a + 6 = 4a + 2$

$:\implies\tt 4a - 3a = 6 - 2$

$:\implies\tt a = 4$

So,

• The value of x is 4.

And,

• The value of y is 8.

VERIFICATION,

$:\implies\tt x : y : : 1 : 2$

$:\implies\tt 4 : 8 = 1 : 2$

$:\implies\tt \frac{1}{2} = \frac{1}{2}$

$:\implies\tt LHS = RHS$

$:\implies\tt (x + 2) : (y + 1) : : 2 : 3$

$:\implies\tt (4 + 2) : ( 8+ 1) = \frac{2}{3}$

$:\implies\tt \frac{6}{9} = \frac{2}{3}$

$:\implies\tt \frac{2}{3} = \frac{2}{3}$

$:\implies\tt LHS = RHS$

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REQUIRED ANSWER,

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• The value of x is 4.