Question

hey friends!
please solve these two questions
please solve fast...thanks☺
no spamming​❌❌❌

Answer 1

Heya mate,

Here is your answer,. ⬇️⬇️

${ANSWER :-}$

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$<i>$ Let Sara's share be x.

Now, Zara's share = (69 - x)

It's is given that, 3/4 of Sara's share is equal to 2/5 of Zara's share.

Thus, 3/4 * x = 2/5 * (69 - x)

=> 3x/4 = 138/5 - 2x/5

=> 3x/4 + 2x/5 = 138/5

=> (15x + 8x)/20 = 138/5

=> 23x/20 = 138/5

=> x = (138 * 20) / (23 * 5)

=> x = 6 * 4 = 24...⬅️

➡️ Thus, Sara's share = $ 24.

And Zara's share = 69 - 24 = $ 45

__________

Let, Peter's present age be x.
And Mary's age be y.

Mary's age is 2/3 that of Peter's age.

So, y = 2/3 * x = 2x/3. ....... (1)

Now, 2 years ago, Mary's age = (y - 2)

And 5 years after, Peter's age = (x + 5)

Now, given that,

1/2 * (x + 5) = (y - 2)

=> x +5 = 2 (y - 2)

=> x + 5 = 2y - 4

=> x + 5 = 2 * 2x/3 - 4 [ from (1)]

=> x + 5 = 4x/3 - 4

=> 4x/3 - x = 5 + 4

=> x/3 = 9

=> x = 27.

Thus, Peter's present age = 27 years.

➡️ Hence, Peter is 27 years old now.

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$<b>$ Hope this helps,.

If helps, please mark 'thanks'

__________

REGARDS, ARNAB ✌️

THANK YOU

Answer 2

Let Sara's share be x.

Now, Zara's share = (69 - x)

It's is given that, 3/4 of Sara's share is equal to 2/5 of Zara's share.

Thus, 3/4 * x = 2/5 * (69 - x)

=> 3x/4 = 138/5 - 2x/5

=> 3x/4 + 2x/5 = 138/5

=> (15x + 8x)/20 = 138/5

=> 23x/20 = 138/5

=> x = (138 * 20) / (23 * 5)

=> x = 6 * 4 = 24...⬅️

️ Sara's share = $ 24.

And Zara's share = 69 - 24 = $ 45

Let, Peter's present age be x.

And Mary's age be y.

Mary's age is 2/3 that of Peter's age.

So, y = 2/3 * x = 2x/3. ....... (1)

Now, 2 years ago, Mary's age = (y - 2)

And 5 years after, Peter's age = (x + 5)

Now, given that,

1/2 * (x + 5) = (y - 2)

=> x +5 = 2 (y - 2)

=> x + 5 = 2y - 4

=> x + 5 = 2 * 2x/3 - 4 [ from (1)]

=> x + 5 = 4x/3 - 4

=> 4x/3 - x = 5 + 4

=> x/3 = 9

=> x = 27.

Thus, Peter's present age = 27 years.

Hence, Peter is 27 years old now.