Franzsantino31idn
Answered

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If the ratio of the ages of two person is 1:2 and the sum of thier ages is 60, what will be the ratio of their ages four years from now?​

Sagot :

KAntoineDoixidn

✒️RATIO

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[tex] \large\underline{\mathbb{ANSWER}:} [/tex]

[tex] \qquad \Large \:\: \rm The \: ratio \: is \; 6 : 11 [/tex]

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[tex] \large\underline{\mathbb{SOLUTION}:} [/tex]

Let x be a number multiplied to each part of the ratio having a total of 60.

  • [tex] 1x + 2x = 60 [/tex]

  • [tex] 3x = 60 [/tex]

  • [tex] \frac{3x}3 = \frac{60}3 \\ [/tex]

  • [tex] x = 20 \\ [/tex]

Thus, the value of x is 20. Multiply it to each part of the ratio to find their present ages.

  • [tex] \implies 1x \::\: 2x [/tex]

  • [tex] \implies 1(20) \::\: 2(20) [/tex]

  • [tex] \implies 20 \::\: 40 [/tex]

Add 4 to each part to determine their ages after 4 years.

  • [tex] \implies 20 + 4 \::\: 40 + 4 [/tex]

  • [tex] \implies 24 \::\: 44 [/tex]

Reduce the ratio into lowest terms.

  • [tex] \implies 24 \div 4 \::\: 44 \div 4 [/tex]

  • [tex] \implies 6 \::\: 11 [/tex]

Therefore, the ratio of their ages after four years is 6 : 11

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