Question

SOLVE THIS MATH IN DETAILS PLEASE ... I NEED EXPLANATION TOO.

2. In a cricket match Nasir scored 3 times more run than that of Mushfiq. If both scored 10 more runs, then the sum of their total run would be 104.

a. If Nasir scored y runs, then express the runs of Mushfiq through y.

b. Form an equation on the basis of the above information.

c. What was the number of runs scored by Nasir and Mushfiq.​

Answer 1

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In a cricket match Nasir scored 3 times more run than that of Mushfiq. If both scored 10 more runs, then the sum of their total run would be 104.

a. If Nasir scored y runs, then express the runs of Mushfiq through y.

So.. according to question:-

Statement justified- Let the score scored by Nasir be y.

Let the score of Mushfiq be x.

Now, y will be greater than x, so the statement is:-

$y = 3x$

a. So, Mushfiq score stands as

$x = \dfrac{y}{3}$

Now, both score 10 more runs, summing up, they give a total of 104.

$y + 10 + x + 10 = 104$

b. So, the above statement gives us the required skeletal statement. Simplifying it,

$x + y + 20 = 104$

$x + y = 104 - 20$

$x + y = 84$

So, b part answer is x + y = 84.

Now, the real answer.

Scores by Nasir and Mushfiq:-

Substituting the value of y = 3x (Remember?)

$3x + x = 84$

$4x = 84$

$x = \dfrac{84}{4}$

$x = 21$

So, score of Mushfiq is 21.

So, Nasir will be 21 × 3 = 63 runs.

Score of Nasir is 63 runs and that of Mushfiq is 21 runs.

A small trick:-

• Somewhat confusion occurs in the statement ... 3 times more run than that of ... So, 3 times more the consonant is of course larger than the opposition one. So, we can make the smaller one I.e x equating to y 3 times greater, y will be smaller, so 3 times will be on the side of y, to get equal to x.