Question

Please answer this... ​

Answer 1

Answer:

Given :-

• Ratio of present ages of mother and daughter = 8:3
• After 5 years = ,9:4

To Find :-

Present ages

Solution :-

Let the present ages be 8x and 3x

$\sf \: \dfrac{8x +5}{3x + 5} = \dfrac{9}{4}$

$\dag \tiny \sf \: By \: Cross \: \: Multiplication$

$\sf \: 4(8x + 5) = 9(3x + 5)$

$\sf \: 32x + 20 = 27x + 45$

$\sf \: 32x - 27x = 45 - 20$

$\sf \: 5x = 45 - 20$

$\sf \: 5x = 25$

$\sf \: x \: = \cancel\dfrac{25}{5}$

$\sf \: x \: = 5$

Hence :-

Present ages are :-

✯ Mother = 8(5) = 40 years

✯ Daughter = 3(5) = 15 years

Answer 2

Given :-

• Ratio of present Ages of Mother and Daughter are 8:3 respectively.
• After 5 years their Ratio of ages will be 9:5.

To Find :-

• Present Ages of Mother and Daughter.

Solution :-

Let Mother's present age be 8x

Let Daughter's present age be 3x

After 5 years :-

Mother's present age = 8x + 5

Daughter's present age = 3x + 5

According to the Question :-

${:} \longrightarrow \sf{\sf{\dfrac{8x \: + \: 5}{3x \: + \: 5}\: = \: \dfrac{9}{4} }}\\\\ {:} \longrightarrow \sf{\sf{4 \: (8x \: + \: 5) \: = \: 9 \: (3x \: + \: 5) }}\\\\{:} \longrightarrow \sf{\sf{32x \: + \: 20 \: = \: 27x \: + \: 45}}\\\\ {:} \longrightarrow \sf{\sf{32x \: - \: 27x\: = \: 45 \: - \: 20}}\\\\ {:} \longrightarrow \sf{\sf{5x\: = \: 25}}\\\\ {:} \longrightarrow \sf{\sf{x\: = \: \cancel\dfrac{25}{5} }}\\\\ {:} \longrightarrow \sf{\bf{x\: = \: 5}}$

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Their Present Ages :-

• Mother = 8x = 8 × 5 = 40years
• Daughter = 3x = 3 × 5 = 15years

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